Probability

Problem 501

A Box contains seven balls with different colors. Three balls are drawn from the box with replacement. find the probability thea the drown bulls have different cators.

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Problem 502

Three numbers are randomly selected from the numbers $1,2,3,4,5,6,7,8,9$ without replacement. Find the probability that twe numbers of them are odd

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Problem 503

In families of four children, give the probabilities of having all boys, all girls, 1 boy (and 3 girls), 1 girl (and 3 boys), and 2 boys (and 2 girls). (Assume that boys and girls are equally likely.) (Enter your answer as a decimal rounded to two decimal places.) $P($ all boys $)=$ $\square$ $P($ all girls $)=$ $\square$ $P($ one boy three girls $)=$ $\square$ $P($ three boys one girl $)=$ $\square$ $P($ two of each $)=$ $\square$

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Problem 504

Find the value of $t_{0.010}$ for a $t$ -distribution with 34 degrees of freedom. Round your answer to three decimal places, if necessary.
Answer

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Problem 505

\begin{tabular}{|c|c|c|c|c|} \hline Preferred Pet & Dog & Cat & Other & Total \\ \hline Boys & 10 & 5 & 9 & 24 \\ \hline GIrls & 8 & 7 & 1 & 16 \\ \hline Total & 18 & 12 & 10 & 40 \\ \hline \end{tabular}
Use the chart to answer the probability questions, Round when necessary. Make sure you include the \% sign. a. Probability of a boy picking a cat? $\square$ b. Probability of a boy picking other? $\square$ c. Probability of a cat or dog? $\square$ d. Probability of a boy or cat? $\square$
8. probability of picking a dog? $\square$ f. Prebability of not picking a dog? $\square$
9. Of the dogs, what is the probability that it is a boy? $\square$ In. Of the girls, what is the probabivity of picking a cat? $\square$

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Problem 506

We are given two events such that $p(A)=0.4, p(B)=0.5$ , and $p(A \cap B)=0.2$ , then $p(B \mid A)=$ a. 0.6 b. 0.4 c. 0.5 d. none of them e. 0.1

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Problem 507

A Class contains 20 male students and 30 female students. We found that 7 male students have a major in Statistics while 10 female students have major in Statistics. If a student is selected at random and we found that (his/her) major is Statistics, what is the probability that the student is "Male"? a. $10 / 17$ b. none of them C. $7 / 20$ d. $1 / 3$ e. $7 / 17$

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Problem 508

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An urn contains one white ball and four black balls. You select balls randomly from the urn, one by one with replacement. If you select the white ball, then the game is finished. The probability that you finish the game in the third selection is a. $\binom{5}{3} \frac{1}{5}$ b. $1 / 5$ c. 1 d. $\left(\frac{4}{5}\right)^{2}\left(\frac{1}{5}\right)$ e. none of them

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Problem 509

A game involves a spinner containing 8 regions of equal size. 2 of the regions are blue, 2 are pink, 2 are green, and 2 are purple. If the pointer is spun twice in a row, what is the probability that it lands on blue and then pink? Write the answer as a simplified fraction. $\square$ Submit Question

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Problem 510

15 Fill in the Blank 1 point
Determine if the scenario involves independent or dependent events. Then find the probability. You select a card from a standard shuffled deck of 52 cards. You return the card, shuffle, and then select another card. Both times the card is a diamond. (Note that 13 of the 52 cards are diamonds.) Type of probability: $\square$ Probability (as a fraction) : type your answer... $\square$ 16 Fill in the Blank 1 point
Determine if the scenario involves independent or dependent events. Then find the probability. You flip a coin and then roll a fair six-sided die. The coin lands heads-up and the die shows an even number. Type of probability: $\square$ Probability (as a fraction) : type your answer... $\square$ 17 Fill in the Blank 1 point
Determine if the scenario involves independent or dependent events. Then find the probability. There are fifteen shirts in your closet, seven blue and eight green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear green shirts both days. Type of probability: choose your answer... $\square$ Probability (as a fraction): type your answer...

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Problem 511

01:16:46 Time Remaining Return Submit 18 Fill in the Blank 1 point
Determine if the scenario involves independerit or dependent events. Then find the probability. You select two cards from a standard shuffled deck of 52 cards. Both selected cards are diamonds. (Note that 13 of the 52 cards are diamonds.) Type of probability: choose your answer... Probability (as a fraction): type your answer...
19 Fill in the Blank 1 point Determine if the scenario involves independent or dependent events. Then find the probability- A bag contains three red marbles and six blue marbles. You randomly pick a marble and then return it to the bag before picking another marble. Both the first and second marbles are blue.
Type of probability: choose your answer...
Probability (as a fraction) : type your answer... $\square$ 20 Fill in the Blank 1 point
Determine if the scenario involves independent or dependent events. Then find the probability. A basket contains eight apples and eight peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first is apple and the second is peach. Type of probability $\square$ choose your answer...
Probability (as a fraction) : $\square$ type your answer...

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Problem 512

You pick a card at random. Without putting the first card back, you pick a second card at random.
3 45
What is the probability of picking a 5 and then picking a 3 ? Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 513

You flip a coin twice.
What is the probability of getting tails and then getting tails? Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 514

You pick a card at random. Without putting the first card back, you pick a second card at random.
2 3 4 5
What is the probability of picking a 3 and then picking a divisor of $42 ?$ Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 515

A simple random sample of size $\mathrm{n}=64$ is obtained from a population that is skewed right with $\mu=85$ and $\sigma=24$ (a) Describe the sampling distribution of $\bar{x}$ . (b) What is $\mathrm{P}(\bar{x}>89.35)$ ? (c) What is $\mathrm{P}(\mathrm{x} \leq 78.85)$ ? (d) What is $P(82.15<\bar{x}<91.3)$ ?
Find the mean and standard deviation of the sampling distribution of $\bar{x}$ . $\begin{array}{l} \mu_{\bar{x}}=85 \\ \sigma_{\bar{x}}=3 \end{array}$ (Type integers or decimals. Do not round.) (b) $P(\bar{x}>89.35)=$ $\square$ (Round to four decimal places as needed.) (c) $P(\bar{x} \leq 78.85)=$ $\square$ (Round to four decimal places as needed.) (d) $P(82.15<\bar{x}<91.3)=$ $\square$ (Round to four decimal places as needed.)

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Problem 516

You spin the spinner twice.
What is the probability of landing on an odd number and then landing on an odd number? Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 517

You pick a card at random, put it back, and then pick another card at random. 1 2 3 4 5
What is the probability of picking a factor of 8 and then picking a number greater than $2 ?$ Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 518

You flip a coin twice.
What is the probability of getting heads and then getting heads? Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 519

5 The letters of the word MATHEMATICS are written on 11 separate cards as shown below: \begin{tabular}{|l|l|l|l|l|l|} \hline M & A & T & H & E & M \\ \hline A & T & I & C & S & \\ \cline { 1 - 4 } & & & \end{tabular} a A card is drawn at random then replaced. Then another card is drawn. Let $A$ be the event the first card drawn is the letter A. Let $M$ be the event the second card drawn is the letter $M$ . Find: i $\mathrm{P}(A)$ ii $\mathrm{P}(M \mid A)$ iii $\mathrm{P}(A \cap M)$ . b In a different experiment, a card is drawn at random and not replaced. Then another card is drawn. Re-calculate the probabilities that you found in part a.

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Problem 520

Evaluate the following probabilities based on the standard normal distribution:
Round all answers to at least 3 decimal places. a. $P(z<2.36)=$ $\square$ b. $P(z>-1.23)=$ $\square$ c. $P(-0.74<z<2.19)=$ $\square$ d. $P(z>0.5)=$ $\square$

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Problem 521

A postal carrier delivered letters, ads, and magazines. Find probabilities for various scenarios based on the total distributions.

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Problem 522

Find the percentile of 7.1 lbs, calculate $Q_{1}, Q_{2}, Q_{3}$ , create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

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Problem 523

4.- Binomial Distribution. Last year, $64\%$ of adults liked superhero movies. For 7 adults, find: a) Probability exactly 4 enjoy them. b) Probability at least 6 enjoy them.

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Problem 524

Calcola la probabilità di estrarre un numero multiplo di 3 da 22 palline, dato che il numero è dispari. $\left[\frac{4}{11}\right]$

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Problem 525

Due mazzi di carte da 40. Calcola la probabilità di avere due re dato che sono uscite due figure e viceversa. $\left[\frac{1}{9} ; 1\right]$

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Problem 526

Un'urna ha 2 palline bianche e 3 nere. Calcola la probabilità di estrazione della pallina bianca in 7 tentativi: a. solo la prima volta; b. una volta; c. 5 volte; d. sempre; e. mai; f. almeno una volta.

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Problem 527

Abbiamo due urne: la prima ha 4 rosse e 6 bianche, la seconda 3 rosse e 2 bianche. Calcola le probabilità di estrarre:
a) due rosse; b) due bianche; c) una rossa e una bianca.
Risultati: a) $\frac{11}{45}$ ; b) $\frac{8}{45}$ ; c) $\frac{26}{45}$ .

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Problem 528

Due mazzi di carte: 40 e 52. Se lanciando due dadi si ottengono uguali, si estrae dal primo mazzo. Probabilità di avere una figura e un asso dal mazzo da 40 è $\left[\frac{17}{67}\right]$ .

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Problem 529

A card is drawn from a 52-card deck. Find the probability of it being an honor card and a face card.

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Problem 530

Choose 10 numbers. Find $\mathrm{P}(E^{\prime})$ if $\mathrm{P}(E)=\frac{5}{10}$ and explain your calculations.

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Problem 531

Find the probability that the battery lasts between 50 and 70 hours for a computer with mean 50 and SD 15 hours.

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Problem 532

Label the guessing probability for a true/false question as "theoretical" or "experimental": Chance is $50\%$ .

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Problem 533

Classify the probability: Is picking a blue marble from 2 blue and 5 yellow marbles $\frac{2}{5}$ theoretical or experimental?

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Problem 534

I drew a marble 5 times: 1 blue and 4 yellow. What is the probability of picking a blue marble? Answer: $\frac{1}{4}$ .

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Problem 535

Multiple-choice questions each have four possible answers ( $a, b, c, d$ ), one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find $\mathrm{P}(\mathrm{WCC})$ , where C denotes a correct answer and W denotes a wrong answer. $P(W C C)=\frac{3}{64}$ (Type an exact answer.) b. Beginning with WCC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list. $\begin{array}{l} \mathrm{P}(\mathrm{WCC})-\text { see above } \\ \mathrm{P}(\mathrm{CCW})=\square \\ \mathrm{P}(\mathrm{CWC})=\square \end{array}$ (Type exact answers.)

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Problem 536

Multiple-choice questions each have four possible answers ( $a, b, c, d$ ), one of which is correct Assume that you guess the answers to three such questions. a. Use the multiplication rule to find $\mathrm{P}(\mathrm{WCC})$ , where C denotes a correct answer and W denotes a wrong answer. $P(W C C)=\frac{3}{64} \text { (Type an exact answer.) }$ b. Beginning with WCC, make a complete list of the different possible arrangements of two correct answers and one wrong answer, then find the probability for each entry in the list. $\begin{array}{l} P(W C C)-\text { see above } \\ P(C C W)=\frac{3}{64} \\ P(C W C)=\frac{3}{64} \end{array}$ (Type exact answers.) c. Based on the preceding results, what is the probability of getting exactly two correct answers when three guesses are made? $\square$ (Type an exact answer.)

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Problem 537

13. At a university, the probability that an incoming freshman will graduate within four years is 0.553 . What is the probability that at least 60 out of a group of 100 incoming freshman will graduate in four years?

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Problem 538

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a 2 . A. $\frac{1}{13}$ B. $\frac{9}{10}$ C. $\frac{1}{10}$ D. $\frac{12}{13}$

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Problem 539

The chart shows the probability of a certain disease for men by age. Use the information to solve the problem. Express all probabilities as decimals, estimated to two decimal places. \begin{tabular}{cc} Age & \begin{tabular}{c} Probability of Disease X \\ $20-24$ \end{tabular} \\ \begin{tabular}{cc} less than 0.008 \\ $25-34$ & 0.009 \\ $35-44$ & 0.14 \\ $45-54$ & 0.39 \\ $55-64$ & 0.42 \\ $65-74$ & 0.67 \\ $75+$ & 0.79 \end{tabular}. \end{tabular}
What is the probability that a randomly selected man between the ages of 55 and 64 does not have this disease? A. 0.42 B. 0.39 C. 0.61

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Problem 540

Solve the problem involving probabilities with independent events. A card is drawn from a 52-card deck and a fair coin is flipped. What is the probability of getting jack and heads? A. $\frac{1}{26}$ B. $\frac{1}{4}$ C. $\frac{3}{52}$ D. $\frac{1}{13}$

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Problem 541

Use the spinner shown. It is equally probable that the pointer will land on any one of the six regions. If the pointer lands on a borderline, spin again. If the pointer is spun twice, find the probability that it will land on green and then green.
Find the probability that the spinner will land on green and then green. The probability is $\square$ $\square$ . (Type an integer or a simplified fraction.)

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Problem 542

The shape of the distribution of the time required to get an oil change at a 10-minute oil-change facility is skewed right. However, records indicate that the mean time is 11.7 minutes, and the standard deviation is 3.7 minutes. Complete parts (a) through (c) below.
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). B. The sample size needs to be less than 30 . C. The normal model cannot be used if the shape of the distribution is skewed right. D. The sample size needs to be greater than 30 . (b) What is the probability that a random sample of $\mathrm{n}=35$ oil changes results in a sample mean time less than 10 minutes?
The probability is approximately 0.0032 . (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $\$ 50$ bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 35 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change time would there be a $10 \%$ chance of being at or below? This will be the goal established by the manager.
There would be a $10 \%$ chance of being at or below $\square$ minutes. (Round to one decimal place as needed.)

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Problem 543

The most famous geyser in the world, Old Faithful in Yellowstone National Park, has a mean time between eruptions of 85 minutes. If the interval of time between the eruptions is normally distributed with standard deviation 21.25 minutes, complete parts (a) through (f).
Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected time interval between eruptions is longer than 96 minutes?
The probability that a randomly selected time interval is longer than 96 minutes is approximately 0.3025 . (Round to four decimal places as needed.) (b) What is the probability that a random sample of 6 time intervals between eruptions has a mean longer than 96 minutes?
The probability that the mean of a random sample of 6 time intervals is more than 96 minutes is approximately 0.1024. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 23 time intervals between eruptions has a mean longer than 96 minutes?
The probability that the mean of a random sample of 23 time intervals is more than 96 minutes is approximately 0.0066 . (Round to four decimal places as needed.) (d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.
If the sample size increases, the probability $\square$ because the variability in the sample mean $\square$

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Problem 544

4.10. Ndryshorja e rastit $X$ ka shpërndarje normale me pritje matematike $\mu=3$ dhe dispersion $\sigma^{2}=9$ . Gjeni: a) $P(-2<X<5), P(X>0)$ b) $P(|X-3|>6), P(-2<X<-1)$ c) $P(-6<X<12), P(X<2)$ d) $P(0<X<1), P(X>2)$

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Problem 545

$P(-1.66 < Z < 0.66)$

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Problem 546

Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
When the weather is rainy, people carry umbrellas more often.
When the weather is snowy, people buy holiday gifts more often.
When the weather is sunny, people wear sunglasses more often.

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Problem 547

14 123 Defaul... B A B5:B8 fx 100\% \ $\% .0$ \xrightarrow{00}I5 \frac{2}{2}$ 17 B A Answer Note: your answers ca decimals or percentage Question
You roll a fair, 5 -sided die. What's the probability you will roll a 3? A bag contains a bunch of marbles: 13 red, 10 green, and 4 yellow. What's the probability of randomly picking a green marble? A bag contains a bunch of marbles: 13 red, 10 green, and 4 yellow. What's the probability of randomly picking a yellow marble? A bag contains a bunch of marbles: 13 red, 10 green, and 4 yellow. What's the probability of randomly picking a red OR green marble? Imagine a spinner with every number (in order) from 1 to $\mathbf{2 0}$ . What are the chances it will land on a multiple of 3 ? (that means 3 or 6 or 9 or 12 or 15 or 18) Imagine a spinner with every number (in order) from 1 to 20 . What are the chances it will land exactly on the number I'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{2 0}$ . What are the chances it will land within one tile (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to 10. What are the chances it will land within two tiles (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{3 0}$ . What are the chances it will land within three tiles (on Level1 - Level 2 . Level 3 -

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Problem 548

Imagine a spinner witi every number (in order) Trom I to 20. Wifat are the chances it willand whinin one tone (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{1 0}$ . What are the chances it will land within two tiles (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{3 0}$ . What are the chances it will land within three tiles (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{1 0}$ . What are the chances it will land within four tiles (on either side) of the number l'm thinking of? Imagine a spinner with every number (in order) from 1 to 10 . What are the chances it will land within five tiles (on either side) of the number I'm thinking of? Imagine a spinner with every number (in order) from 1 to $\mathbf{2 0}$ . What are the chances it will land within six tiles (on either side) of the number I'm thinking of? magine a spinner with every number (in order) from 1 to $\mathbf{1 0 0}$ . What are the chances it will land within eighteen tilk (on either side) of the number l'm thinking of?

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Problem 549

Question
You roll a fair, 5 -sided die, then you flip à coin. How many different potential outcomes are there? In the example above, how likely is it that you will roll a 5 and then flip Tails? In the same scenario, how likely is it that you will roll a number bigger than 1 and then flip Heads? In the example above, how likely is it that you will roll an odd number and then flip either Heads or Tails? You roll a pair of 6-sided dice. The total number of possible outcomes is: In this scenario, what is the probability that you rolled a 3 on the first die, and a 4 on the second die? In the same scenario, what is the probability that you rolled an even number on the first die, and an odd number on the second die? In the same scenario, what is the probability that you rolled a 2 or 3 on the first die, and a 6 on the second die? In the same scenario, what is the probability that you rolled a number bigger than 4 on the first die, and a number

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Problem 550

\text{Warm-Up} \\ \text{Click on the blocks to build your own bag.} \\
\text{Make the probability of picking a green block (G) 40\%.} \\
\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.} \\
\text{Dialogue Transcript:} \\
\text{Hello! It seems like you're working on a probability problem where you need to configure a bag of blocks such that the probability of picking a green block is 40\%. To help you out, I'll need a bit more information:} \\
\text{- How many blocks in total do you want in the bag?} \\ \text{- Are there other colors of blocks available and if so, how many types?} \\
\text{Once you provide this information, I can guide you on how to set up your blocks to achieve the desired probability.} \\ \text{There are 20 blocks} \\

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Problem 551

What is the probability of selecting a random month of the year and getting a month that starts with the letter "J"?
If you get stuck, consider listing the sample space. Submit

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Problem 552

Problem 2 $4-40$
A bag has 6 blocks in it.
Joel picks a block out of the bag 60 times. He gets a green block 43 times.
Based on these results, how many blocks do you expect to be green? $\square$ Submit and Explain

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Problem 553

A local fast-food restaurant is running a "Draw a three, get it free" lunch promotion. After each customer orders, a touch-screen display shows the message, "Press here to win a free lunch." A computer program then simulates one card being drawn at random from a standard deck of playing cards. If the chosen card is a 3, the customer's order is free. (Note that the probability of drawing a 3 from a standard deck of playing cards is $4 / 52$ .) Otherwise, the customer must pay the bill. Suppose that 250 customers place lunch orders on the first day of the promotion. Let $X$ $=$ the number of people who win a free lunch. Explain why X is a binomial random variable. B- choose your answer... $\square$ "failure"=Anything but a type your answer... $\square$ - "success"=Draw a type your answer... $\square$ $\qquad$ - Knowing whether or not one person gets a type your answer... $\square$ tells you choose your answer... $\square$ about whether or not $1-$ choose your answer... $\square$ another person gets a type your answer... $\square$ N- $\square$ $-n=$ type your answer... $\square$
S- $\square$ $p=$ type your answer... $\square$

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Problem 554

Let $X$ be a non-negative random variable with a distribution such that $P(X>a)=e^{-1.4 a}$ for all $a>0$ . Calculate $P\left(e^{X}-0.8 \leq 1\right)$ .
Answer: $\square$

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Problem 555

The migration pattern of residents in City A, B, and C, are given by the following transition matrix. \begin{tabular}{l} \multicolumn{1}{c}{ Initial } \\ $A$ \\ $A$ \\ $B$ \end{tabular}
What does the entry in the second row first column represent? [This question is based on your assigned pre-reading/prep for the upcoming Assignment] The probability that people from City A will move to City B none of these The probability that people from City B will move to City A The probability that people from City A will move to City C.

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Problem 556

$B=$ BINOMIAL PROBABILITY DISTRIBUTION FUNCTION
Example 4.14 In the 2013 Jerry's Artarama art supplies catalog, there are 560 pages. Eight of the pages feature signature artists. Suppose we randomly sample 100 pages. Let $X=$ the number of pages that feature signature artists. What values does $x$ take on? What is the probability distribution? Find the following probabilities: a) the probability that two pages feature signature artists b) the probability that at most six pages feature signalure arists c) the probability that more than three pages feature stonalure artists. Using the formulas, calculate the (i) mean and (ii) slandard deviation. Propared for Openstax Introduclory Statistics by River PariahnaConmunity Colleonunder CC BYSA AO

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Problem 557

Suppose $Z$ follows the standard normal distribution. Calculate the following probabilities using the ALEKS calculator. Round your responses to at least three decimal places. (a) $P(z \leq-1.18)=$ $\square$ (b) $P(z>0.77)=$ $\square$ (c) $P(-0.65<Z<2.02)=$ $\square$

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Problem 558

\begin{tabular}{|l|l|} \hline What are the chances of them adding up to 6 or 8 ? & 0.167 \\ \hline What are the chances of them adding up to a prime number? & \\ \hline What are the chances of rolling a double (same number on each die)? \\ \hline What are the chances of rolling snake-eyes twice in a row? & \\ \hline \end{tabular}

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Problem 559

Return Next
2 Numeric 1 point
A survey found that $25 \%$ of pet owners have their pets bathed professionally than doing it themselves. If 18 pet owners are surveyed, what is the probability that no more than 6 pet owners have their pets professionally bathed? (Round answer to the third decimal)
Type your answer... Previous Next

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Problem 560

When rolling two dice, the probability of rolling doubles is $1 / 6$ , suppose a game player roll the dice 5 times hoping to get double. What is the probability that the player gets doubles between 2 to 5 times (exclusive)? (round to the third decimal)

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Problem 561

A test has 10 multiple choice questions each of which has four choices and only one right answer. A student decides to use a spinner with four equivalent sectors on it to randomly choose which answer to pick for each question. What is the likelihood the student gets no more than 2 of the questions correct? (Round to the third decimal)

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Problem 562

A test has 10 multiple choice questions each of which has four choices and only one right answer. A student decides to use a spinner with four equivalent sectors on it to randomly choose which answer to pick for each question. What is the likelihood the student gets between 7 and 9 (inclusive) of the questions correct? (Round to the fourth decimal)

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Problem 563

John tossed a coin ten times with the desire of getting tails each time. (This is representing a binomial distribution) True False

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Problem 564

In a binomial distribution if it is expected that $56 \%$ of people will have pets then when a sample of 125 people are selected it is expected that 70 will not have pets. True False

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Problem 565

A chef is trying out a new recipe. From his past experience, it takes him a few trials to get it right. He estimates for the first 15 trials, his probability of getting the recipe right is $35 \%$ in each trial. Since it's new, every trial is considered to be independent from the other. Submit all your answers to three decimal places. (a) The chef would like to try the recipe 10 times, and he wants to add it to the menu if he gets at least 6 right. (i) What is the probability that the new recipe will be added to the menu? 0.021 (ii) What is the probability that the chef gets exactly 6 right? (b) The chef would like to try the recipe 15 times. (i) What is the probability that the chef gets exactly 6 right?

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Problem 566

A deck of 108 cards contains an equal number of each color: red, yellow, green, and black. If a card is chosen at random, what is the probability that it is black? $\frac{1}{27}$ $\frac{1}{108}$ $\frac{1}{4}$ $\frac{1}{3}$

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Problem 567

Numeric 1 point
When rolling two dice, the probability of rolling doubles is $1 / 6$ , suppose a game player roll the dice 5 times hoping to get double. What is the probability that the player gets doubles less than 3 times? (round to the third decimal)
Type your answer...

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Problem 568

Use the table to find the probability. P (The degree is not a bachelor's, given that the recipient is female.)
Projected Number of Degree Recipients in 2010 (thousands) \begin{tabular}{|c|c|c|} \hline Degree & Male & Female \\ \hline Associate's & 217 & 378 \\ \hline Bachelor's & 483 & 897 \\ \hline \end{tabular}
The probability that the degree is not a bachelor's given that the recipient is female is $\square$ $\square$ . (Round to two decimal places as needed.)

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Problem 569

Let $\times$ be a discrete random variable with the following PMF. Answer questions 1,2 and 3 $P_{x}(x)=\left\{\begin{array}{ll} \frac{1}{k} & \text { for } x=-2 \\ \frac{1}{k} & \text { for } x=-1 \\ \frac{1}{8} & \text { for } x=0 \\ \frac{1}{8} & \text { for } x=1 \\ \frac{1}{k} & \text { for } x=2 \\ 0 & \text { otherwise } \end{array}\right.$
1. (1 point) Find the value of $k$ A. 0.125 B. 0.25 C. 8 D. 1 E. 4
2. (1 point) Find $P(-1.5<x<0.5)$ A. 0.25 B. 1 C. 0.375 D. $5 / 32$ E. 0.75
3. (1 point) The $E(X)$ equals: A. 1 B. 2 C. 0 D. 0.125 E. -0.125
The discrete random variable $X$ takes the values 1,2 and 3 and has cumulative distribution function $\mathrm{F}(\mathrm{x})$ given by \begin{tabular}{|c|c|c|c|} \hline $\mathbf{X}$ & 1 & 2 & 3 \\ \hline $\mathbf{F}(\mathbf{x})$ & 0.4 & 0.4 & 1 \\ \hline \end{tabular}
4. (2 points) The variance of $X$ equals: A. 1.7 B. 0.96 C. 0.91 D. 0.98 E. 5.8 Page 217

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Problem 570

\begin{tabular}{|c|c|} \hline What are the chances of them adding up to 7 ? & 0.167 \\ \hline What are the chances of them adding up to 6 or $8 ?$ & 0.42 \\ \hline What are the chances of them adding up to a prime number? & 0.42 \\ \hline What are the chances of rolling a double (same number on each die)? & 0.167 \\ \hline What are the chances of rolling snake-eyes twice in a row? & 0.42 \\ \hline What are the chances of the dice adding up to an even number? & 0.5 \\ \hline What are the chances that both dice will be even numbers? & 0 \\ \hline \end{tabular}

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Problem 571

Sports Betting Secret - Google Docs 11/22/24 ATL @ CHI /// Stats /// Cleaning the... Home - Northern Essex Community College...
Homework : $4: 7(1,2,3,4) 8(2,3,4)$ Question 1 of 40 (1 point) I Question Attempt: 1 of 3 1
2 3 4 5 6 7 8 9
The waiting time at a bus stop for the next bus to arrive is uniformly distributed between 0 and 10 minutes.
Part: $0 / 3$ $\square$
Part 1 of 3 (a) Find the probability that the waiting time is less than 4 minutes.
The probability that the waiting time is less than 4 minutes is $\square$ .

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Problem 572

Homework ; $4: 7(1,2,3,4) 8(2,3,4)$ Home - Northern Essex Communi Question 1 of 40 (1 point) I Question Attempt: 1 of 3 $\equiv 1$ 2 3 4 5 6 7 8 9
The waiting time at a bus stop for the next bus to arrive is uniformly distributed between 0 and 10 minutes. Part 1 of 3 (a) Find the probability that the waiting time is less than 4 minutes.
The probability that the waiting time is less than 4 minutes is $\frac{2}{5}$ .
Part 2 of 3 (b) Find the probability that the waiting time is greater than 3 minutes.
The probability that the waiting time is greater than 3 minutes is $\frac{7}{10}$ .
Part: $2 / 3$
Part 3 of 3 (c) Find the probability that the waiting time is between 2 and 8 minutes.
The probability that the waiting time is between 2 and 8 minutes is $\square$ . Shol Ch Chgck - 2024 MEGTaw HIILLC. AI Roghts

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Problem 573

brtsbook at Fa... Sports Betting Secret - Google Docs 11/22/24 ATL @ CHI /// Stats /// Cleaning the... Home - Northern Essex Community College... Content Homework \# 4: 7(1,2,3,4) 8(2,3,4) Question 2 of 40 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ 2 3 4 5 6 7 8 9 10 11
The following figure is a probability density curve that represents the grade point averages (GPA) of the graduating seniors at a large university.
Part 1 of 2
Find the proportion of seniors whose GPA is between 3.1 and 3.4. The proportion of seniors whose GPA is between 3.1 and 3.4 is $\square$ .
Part 2 of 2
What is the probability that a randomly chosen senior will have a GPA greater than 3.4 ? The probability that a randomly chosen senior will have a GPA greater than 3.4 is $\square$ . Che. Save For Later Submit As -2024 MaGraw Hill LIC. All Righis Reserved. Tamsol Use - P Privasy Center

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Problem 574

Encuesta a estudiantes sobre sus preferencias en 3 plataformas: Amazon Prime, HBO y Netflix. Responde:
a.) Estudiantes con las 3 plataformas: b.) Estudiantes con al menos una plataforma: c.) Estudiantes con exactamente una plataforma: d.) Estudiantes con Amazon Prime o HBO, pero no Netflix:

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Problem 575

In a group with a skin disorder, 36 were exposed to methanol, 90 to xylene, and 18 to both. Find those exposed to either.

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Problem 576

Encuesta sobre preferencias de streaming: Amazon Prime, HBO y Netflix. Datos: 159 con Amazon, 200 sin Amazon, 192 sin HBO, 137 con Netflix, 108 sin Amazon ni HBO, 104 sin HBO ni Netflix, 124 sin Amazon ni Netflix, 56 sin ninguna.
a.) ¿Cuántos tienen las tres plataformas? b.) ¿Cuántos tienen al menos una plataforma? c.) ¿Cuántos tienen exactamente una plataforma?

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Problem 577

Micro-Pub, Inc. is evaluating two cameras (R and S).
a. Find the rate of return range for both cameras. b. Calculate the expected return for each camera. c. Which camera is riskier and why?
Initial investment: \$4,000 for both. Camera R: Pessimistic 20%, Most likely 25% (0.50), Optimistic 30% (0.25). Camera S: Pessimistic 15% (0.20), Most likely 25% (0.55), Optimistic 35% (0.25).

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Problem 578

Use the table below to find the percentage of data items in a normal distribution that lie between $z=0.7$ and $z=1.6$ . \begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|} \hline z-score & 0.1 & 0.2 & 0.3 & 0.4 & 0.5 & 0.6 & 0.7 & 0.8 & 0.9 & 1.0 \\ Percentile & 53.98 & 57.93 & 61.79 & 65.54 & 69.15 & 72.57 & 75.80 & 78.81 & 81.59 & 84.13 \\ \hline z-score & 1.1 & 1.2 & 1.3 & 1.4 & 1.5 & 1.6 & 1.7 & 1.8 & 1.9 & 2.0 \\ Percentile & 86.43 & 88.49 & 90.32 & 91.92 & 93.32 & 94.52 & 95.54 & 96.41 & 97.13 & 97.72 \\ \hline z-score & 2.1 & 2.2 & 2.3 & 2.4 & 2.5 & 2.6 & 2.7 & 2.8 & 2.9 & 3.0 \\ Percentile & 98.21 & 98.61 & 98.93 & 99.18 & 99.38 & 99.53 & 99.65 & 99.74 & 99.81 & 99.87 \\ \hline \end{tabular}
The percentage of data items in a normal distribution that lie between $z=0.7$ and $z=1.6$ is $\%$ $\square$

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Problem 579

www-awu-aleks.com Secret - Google D... 11/22/24 ATL @ C... Home - Northern... Content ChatGPT Chicago Bulls... Failed to open page Homework * 4: $7(1,2,3,4) 8(2,3,4)$ Question 8 of 40 (1 point) I Question Attempt 1 of 3 Jonathan $\checkmark 1$ $\times 2$ $\checkmark 3$ $\times 4$ 6 $\checkmark 7$ 8 9 10 11 12
A normal population has mean $\mu=7$ and standard deviation $\sigma=7$ . Find the probability that a randomly selected value is greater than 4 . Round the answers to at least four decimal places.
The probability that a randomly selected value is greater than 4 is $\square$ .

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Problem 580

Secret - Google D... www-awu.aleks.com Homework \# 4: $7(1,2,3,4) 8(2,3,4)$ Home - Northern... Content ChatGPT Chicago Bulls... Failed to open page Question 9 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan $\checkmark 1$ $\times 2$ $\checkmark 3$ $=5$ 6 67 9 10 11 12
A normal population has mean $\mu=37$ and standard deviation $\sigma=14$ . Find the value that has $25 \%$ of the population above it. Round the answer to at least one decimal place.
The value that has $25 \%$ of the population above it is $\square$ .

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Problem 581

www-awu.aleks.com Betting an... Secret - Google D... 11/22/24 ATL @ C... Home - Northern... Content ALEKS - Jonathan... ChatGPT Chic Homework \# 4: $7(1,2,3,4) 8(2,3,4)$ Question 11 of 40 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ $\times 2$ $\checkmark 3$ 4 6 $\checkmark 7$ $\checkmark$ $\checkmark 9$
A normal population has mean $\mu=9$ and standard deviation $\sigma=5$ . (a) What proportion of the population is less than 20? (b) What is the probability that a randomly chosen value will be greater than 6 ?
Round the answers to four decimal places.
Part: $0 / 2$
Part 1 of 2
The proportion of the population less than 20 is $\square$ . Skip Part Check - 2024 McGraw Hill LLC. All Ri

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Problem 582

www-awu.aleks.com Secret - Google D... 11/22/24 ATL @ C... Home - Northern... Content ChatGPT Chicas Homework \# 4: 7(1,2,3,4) 8(2,3,4) Question 11 of 40 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ $\checkmark 3$ 4 6 7 8 9
A normal population has mean $\mu=9$ and standard deviation $\sigma=5$ . (a) What proportion of the population is less than 20? (b) What is the probability that a randomly chosen value will be greater than 6 ?
Round the answers to four decimal places.
Part 1 of 2
The proportion of the population less than 20 is 0.9861 .
Part: 1 / 2
Part 2 of 2
The probability that a randomly chosen value will be greater than 6 is $\square$ .

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Problem 583

1 Matching 5 points
Determine if each of the following situations is a binomial distribution. If it does, explain why each condition is met. If it does not, say what condition was not met
I roll a die 100 times and count how many of each number I get.
I flip a coin and count how many times it takes to land on a "head".
I spin a spinner 20 times and count how many times it lands on blue.
I flip a coin 12 times and count how many heads I get. I throw a bean bag at a cornhole board 10 times. I receive coaching after each throw. I count how many bags go in.

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Problem 584

Secret - Google D... 11/22/24 ATL @ C... www-awu.aleks.com Homework \# 4: $7(1,2,3,4) 8(2,3,4)$ Question 13 of 40 (1 point) I Question Attempt: 1 of 3 ALEKS - Jonathan... ChatGPT Chicago Bulls... Failec $\checkmark 1$ $\checkmark 3$ $\times 4$ 6 $\checkmark 7$ $\checkmark 8$ 9 10 $\checkmark 11$
A sample of size 190 will be drawn from a population with mean 45 and standard deviation 11. Use the TI-83 Plus/TI-84 Plus calculator. Part 1 of 2 (a) Find the probability that $\bar{x}$ will be less than 43 . Round the answer to at least four decimal places.
The probability that $\bar{x}$ will be less than 43 is 0.0060 .
Part: $1 / 2$
Part 2 of 2 (b) Find the $60^{\text {th }}$ percentile of $\bar{x}$ . Round the answer to at least two decimal places.
The $60^{\text {th }}$ percentile is $\square$ . Skip Part Check

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Problem 585

www-awu.aleks.com s Betting an.... Secret - Google D... Home - Northern... Content ChatGPT Chicago Bulls... Failed to open page Homework \& 4: $7(1,2,3,4) 3(2,3,4)$ Question 14 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan $\checkmark 1$ $\checkmark 3$ $\times 4$ 6 $\checkmark 7$ $\checkmark 8$ $\checkmark 9$ $\checkmark 10$ $\checkmark 11$ Español
Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 198, with a standard deviation of 39.3 (the units are milligrams per deciliter). A simple random sample of 106 adults is chosen. Use the TI-84 Plus calculator. Round the answers to at least four decimal places.
Part 1 of 3 (a) What is the probability that the sample mean cholesterol level is greater than 205?
The probability that the sample mean cholesterol level is greater than 205 is 0.0331 .
Part 2 of 3 (b) What is the probability that the sample mean cholesterol level is between 186 and 192?
The probability that the sample mean cholesterol level is between 186 and 192 is 0.0572 .
Part: $2 / 3$
Part 3 of 3 (c) Using a cutoff of 0.05 , would it be unusual for the sample mean to be less than 194?
It $\square$ (Choose one) be unusual for the sample mean to be less than 194, since the probability is $\square$ . Skip Part Check Save For Later Submit Assignmen

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Problem 586

Secret - Google D. www-awy.aleks.com igan. 11/22/24 ATL @ C. C. Home - Northern... A aleks - Jonathan... ChatGPT Chicago Bulls... Falied to open page Homework \& 4: $7(1,2,3,4) 8(2,3,4)$ Question 15 of 40 (1 point) I Question Attempt: 1 of 3 $\checkmark 1$ $\times 2$ - 3 $\times 4$ $=5$ 6 $\checkmark 7$ $\checkmark$ 9 $\checkmark 10$ $\checkmark 11$ Jonathan
TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household was 2.24. Assume the standard deviation is 1.2 . A sample of 95 households is drawn.
Part: $0 / 5$ $\square$ Part 1 of 5 (a) What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to at least four decimal places.
The probability that the sample mean number of TV sets is greater than 2 is $\square$ . Skip Part Check Save For Later Submit Assignment - 2024 MaGraw Hill LLC. All Rights Reserved. Terms of Use I Pivacy Center I Accessiblity

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Problem 587

$\checkmark 1$ 2 $\checkmark 3$ 6 7 8 10 $\checkmark 11$ 12 Español
TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household was 2.24. Assume the standard deviation is 1.2 . A sample of 95 households is drawn.
Part 1 of 5 (a) What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to at least four decimal places.
The probability that the sample mean number of TV sets is greater than 2 is 0.9744 .
Part: $1 / 5$
Part 2 of 5 (b) What is the probability that the sample mean number of TV sets is between 2.5 and 3? Round your answer to at least four decimal places.
The probability that the sample mean number of TV sets is between 2.5 and 3 is $\square$ . Skip Part Check Save For Later Submit Assignment

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Problem 588

(0) Watch Video Show Examples each week (for of surveyed as to how much non-school screen time they had media, watching TV, or playing vivey, screen time was defined as: time spent online, on social
Screen Time \begin{tabular}{|c|c|c|c|} \hline & above & below & Total \\ \hline less than $\mathbf{4}$ hours & 8 & 6 & 14 \\ \hline $\mathbf{4 - 8}$ hours & 18 & 16 & 34 \\ \hline $\mathbf{8 - 1 2}$ hours & 19 & 16 & 35 \\ \hline more than 12 hours & 13 & 20 & 33 \\ \hline Total & 58 & 58 & 116 \\ \hline \end{tabular}
What percent of the students who spend 4-8 hours a week on screens reported a grade average above 80 ? Round your answer to the nearest tenth of a percent.

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Problem 589

11 $\checkmark 12$ 13 15 16 17 18 19 20
Coffee: The National Coffee Association reported that $65 \%$ of U.S. adults drink coffee daily. A random sample of $300 \mathrm{U} . \mathrm{S}$ . adults is selected. Round your answers to at least four decimal places as needed.
Part 1 of 6 (a) Find the mean $\mu_{p}$ .
The mean $\mu_{\hat{p}}$ is 0.65 .
Part 2 of 6 (b) Find the standard deviation $\sigma_{\hat{p}}$ .
The standard deviation $\sigma_{\hat{p}}$ is 0.0275 .
Part 3 of 6 (c) Find the probability that more than $66 \%$ of the sampled adults drink coffee daily.
The probability that more than $66 \%$ of the sampled adults drink coffee daily is 0.3564 .
Part 4 of 6 (d) Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71 .
The probability that the proportion of the sampled adults who drink coffee daily is between 0.57 and 0.71 is 0.9836 . Part 5 of 6 Cava For 1 ater Submi (e) Find the probability that less than $60 \%$ of sampled adults drink coffee daily.
The probability that less than $60 \%$ of sampled aduts drink coffee đaity is $\square$ .

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Problem 590

Coffee: The National Coffee Association reported that $63 \%$ of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.
Part 1 of 2 (a) Find the probability that more than $64 \%$ of the sampled adults drink coffee daily.
The probability that more than $64 \%$ of the sampled adults drink coffee daily is 0.3721 .
Part: $1 / 2$
Part 2 of 2 (b) Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.62 and 0.68 .
The probability that the proportion of the sampled adults who drink coffee daily is between 0.62 and 0.68 is $\square$ .

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Problem 591

acret - Coogle... 11/22/24 ATL @... Home - Norther... Content ChatGPT Chicago Bull.. Failed to open... Homework \# 4: $7(1,2,3,4) 8(2,3,4)$ Question 21 of 40 (1 point) I Question Attempt: 1 of 3 $\checkmark 12$ 13 $\checkmark 14$ 15 $\equiv 16$ $=18$ 19 20 $\equiv 21$
Student loans: The Institute for College Access and Success reported that $65 \%$ of college students in a recent year graduated with student loan debt. A random sample of 90 graduates is drawn. Round your answers to at least four decimal places if necessary.
Part 1 of 6 (a) Find the mean $\mu_{\hat{p}}$ .
The mean $\mu_{\hat{p}}$ is 0.65 .
Part 2 of 6 (b) Find the standard deviation $\sigma \hat{p}$ .
The standard deviation $\sigma_{\hat{p}}$ is 0.0503 . $p$
Part: $2 / 6$
Part 3 of 6 (c) Find the probability that less than $52 \%$ of the people in the sample were in debt.
The probability that less than $52 \%$ of the people in the sample were in debt is $\square$ . Skip Part Check Save For Later Submit A Q 2024 McGraw Hill LLC All Rights Reserved. Terms of Uso - Fivacy Center

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Problem 592

\text{Student loans: The Institute for College Access and Success reported that } 65\% \text{ of college students in a recent year graduated with student loan random sample of 90 graduates is drawn. Round your answers to at least four decimal places if necessary.}
\text{Part 1 of 6} \begin{itemize} \item[(a)] \text{Find the mean } \mu_{\hat{p}}. \begin{itemize} \item \text{The mean } \mu_{\hat{p}} \text{ is } 0.65. \end{itemize} \end{itemize}
\text{Part 2 of 6} \begin{itemize} \item[(b)] \text{Find the standard deviation } \sigma. \begin{itemize} \item \text{The standard deviation } \sigma_{\hat{p}} \text{ is } 0.0503. \end{itemize} \end{itemize}
\text{Part 3 of 6} \begin{itemize} \item[(c)] \text{Find the probability that less than } 52\% \text{ of the people in the sample were in debt.} \begin{itemize} \item \text{The probability that less than } 52\% \text{ of the people in the sample were in debt is } 0.0049. \end{itemize} \end{itemize}
\text{Part 4 of 6} \begin{itemize} \item[(d)] \text{Find the probability that between } 60\% \text{ and } 80\% \text{ of the people in the sample were in debt.} \begin{itemize} \item \text{The probability that between } 60\% \text{ and } 80\% \text{ of the people in the sample were in debt is } 0.8375. \end{itemize} \end{itemize}
\text{Part 5 of 6} \begin{itemize} \item[(e)] \text{Find the probability that more than } 70\% \text{ of the people in the sample were in debt.} \begin{itemize} \item \text{The probability that more than } 70\% \text{ of the people in the sample were in debt is } \square. \end{itemize} \end{itemize}

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Problem 593

\text{Student loans: The Institute for College Access and Success reported that } 65\% \text{ of college students in a recent year graduated with student loan debt. A random sample of 90 graduates is drawn. Round your answers to at least four decimal places if necessary.}
\text{Part 1 of 6} \text{(a) Find the mean } \mu_{\hat{p}}.
\text{The mean } \mu_{\hat{p}} \text{ is } 0.65.
\text{Part 2 of 6} \text{(b) Find the standard deviation } \sigma_{\hat{p}}.
\text{Part 6 of 6} \text{(f) Using a cutoff of } 0.05, \text{ would it be unusual if less than } 66\% \text{ of people in the sample were in debt?}
\text{It (Choose one) } \nabla \text{ be unusual if less than } 66\% \text{ of the people in the sample were in debt, since the probability is } \square.

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Problem 594

Onlin. Sports Betting Secret - 11/22/24 ATL @ CHI I// St... Home - Northern Essex... Content ChatGPT (5) KaiCenat - Twitch Homework : $4: 7(1,2,3,4) 8(2,3,4)$ Question 16 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan $\checkmark 14$ 15 $=16$ $=18$ 19 20 22 23 24 Español 25>
SAT scores: Assume that in a given year the mean mathematics SAT score was 522, and the standard deviation was 116 . A sample of 66 scores is chosen. Use the TI-84 Plus calculator.
Part 1 of 5 (a) What is the probability that the sample mean score is less than 509? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 509 is $0.1841{ }^{\text {® }}$ .
Correct Answer:
The probability that the sample mean score is less than 509 is 0.1813 .
Part: $1 / 5$
Part 2 of 5 (b) What is the probability that the sample mean score is between 486 and 525? Round the answer to at least four decimal places.
The probability that the sample mean score is between 486 and 525 is $\square$ Skip Part Check Save For Later Submit Assignment (c) 2024 McGraw Hill LLC. All Rights Reserved.Terms of Use I Privacy Center I Accessibility

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Problem 595

www-awu-aleks.com Sports Beting Secret -... 11/22/24 ATL @ CHI /// St... Homo - Northern Essex... Content A Aleks - Jonathan Vcga... ChatGPT (5) Kalcenat - Twitch Homework \# 4: $7(1,2,3,4) 8(2,3,4)$ Question 16 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan
SAT scores: Assume that in a given year the mean mathematics SAT score was 522, and the standard deviation was 116. A sample of 66 scores is chosen. Use the TI-84 Plus calculator. Español
Part 1 of 5 (a) What is the probability that the sample mean score is less than 509? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 509 is $0.1841^{8}$ .
Correct Answer:
The probability that the sample mean score is less than 509 is 0.1813 .
Part 2 of 5 (b) What is the probability that the sample mean score is between 486 and 525? Round the answer to at least four decimal places.
The probability that the sample mean score is between 486 and 525 is 0.5773
Part: $2 / 5$
Part 3 of 5 (c) Find the $90^{\text {th }}$ percentile of the sample mean. Round the answer to at least two decimal places.
The $90^{\text {th }}$ percentile of the samplemean is $\square$ . part Check Save For Later Submit Assignment @ 2024 MeGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility

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Problem 596

ww-awu-aleks.com Sports Boting and Onlin... Sports Boting Secret -.. 11/22/24 ATL @ CHI $/ 1 / \mathrm{St}$ . Home - Northern Essex Content ALEKs - Jonathan Vega. ChatGPT (5) KaiCenat - 1 Homework $4: 7(1,2,3,4) 8(2,3,4)$ Question 16 of 40 (1 point) I Question Attempt 1 of 3 Jonathan
The probability that the sample mean score is less than 509 is 0.1841 0 Españ
Correct Answer:
The probability that the sample mean score is less than 509 is 0.1813 .
Part 2 of 5 (b) What is the probability that the sample mean score is between 486 and 525? Round the answer to at least four decimal places.
The probability that the sample mean score is between 486 and 525 is 0.5773
Part 3 of 5 (c) Find the $90^{\text {th }}$ percentile of the sample mean. Round the answer to at least two decimal places.
The $90^{\text {th }}$ percentile of the sample mean is 540.25 .
Part: $3 / 5$
Part 4 of 5 (d) Using a cutoff of 0.05 , would it be unusual if the sample mean were greater than 525 ? Round the answer to at least four decimal places.
It $\square$ (Choose one) be unusual if the sample mean were greater than 525 , since the probability is $\square$ . Skip Part Check Save For Later Submit Assignment (a) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privagy Center I Accessilbility

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Problem 597

www-awu.aleks.com ig and Onlin. Sports Betting Secret -- 11/22/24 ATL @ CHI I// St... Home - Northern Essex... Content ChatGPT (5) KaiCenat - Twitc Homework 4 4:7(1,2,3,4) 8(2,3,4) Question 17 of 40 (1 point) I Question Attempt: 1 of 3 Jonathan $\checkmark 14$ 15 16 - 1. $=18$ 19 20 $\checkmark 21$ 22 $\checkmark 23$ Espariol 25
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $\$ 8040$ . Assume that-the standard deviation is $\$ 4500$ . The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5 (a) What is the probability that the sample mean tax is less than $\$ 7900$ ? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $\$ 7900$ is 0.1628
Part: $1 / 5$
Part 2 of 5 (b) What is the probability that the sample mean tax is between $\$ 7400$ and $\$ 8100$ ? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $\$ 7400$ and $\$ 8100$ is $0.9986^{\$}$ . Skip Part Check Save For Later Submit Assignment 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center 1 Accessibity

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Problem 598

ww-awu-alcks.com Sports Betting and Onlin. Sports Boting Secret - $11122 / 24$ ATL @ CHI/// St... Home - Northern Essex ${ }_{w t}$ Content A aleks - Jonathan Vogam. ChatGPT (5) Kaic Homework 4 4: $7(1,2,3,4) 8(2,3,4)$ Question 17 of 40 (1 point) I Question Attempt 1 of 3 Jonatha
Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $\$ 8040$ . Assume that the standard deviation is $\$ 4500$ . The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part 1 of 5 (a) What is the probability that the sample mean tax is less than $\$ 7900$ ? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $\$ 7900$ is 0.1628 .
Part 2 of 5 (b) What is the probability that the sample mean tax is between $\$ 7400$ and $\$ 8100$ ? Round the answer to at least four decimal places.
The probability that the sample mean tax is between $\$ 7400$ and $\$ 8100$ is 0.6628 . Correct Answer:
The probability that the sample mean tax is between $\$ 7400$ and $\$ 8100$ is 0.6634 .
Part: $2 / 5$
Part 3 of 5 (c) Find the $80^{\text {th }}$ percentile of the sample mean. Round the answer to at least two decimal places.
The $80^{\text {th }}$ percentile of the sample mean is $\$$ $\square$ Skip Part Check Save For Later Submit Assignment - 2024 MeGraw Hill LLC. All Rights Reserved. Terms of Use 1 Privagy Center I Accessibility

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Problem 599

Sports Beting and Onlin... Sports Betting Secret - www-awu.aleks.com Homework \& 4: $7(2,2,3,4) 8(2,3,4)$ Home - Northern Essex Content A Aleks - Jonathan Vcga... ChatGPT (5) Kaicenat - Twitch Question 18 of 40 (1 point) I Question Altempt: 1 of 3 Jonathan 14 15 16 17 $=18$ 19 20 $\checkmark 21$ 22 23 24 Español 25>
Below, $n$ is the sample size, $p$ is the population proportion and $\hat{p}$ is the sample proportion. Use the Central Limit Theorem and the TI-84 Plus calculator to find the probability. Round the answers to at least four decimal places. $\begin{array}{l} n=200 \\ p=0.10 \end{array}$ $P(\hat{p}<0.07)=0.785^{\otimes}$ Check Save For Later Submit Assignment - 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibility

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Problem 600

Probability WORKSHEET 7.3
5. In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?
6. In a school of $\mathbf{3 0 0}$ students, 90 students are in the band, 185 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports?
7. A veterinarian surveys 26 of his patrons. He discovers that 14 have dogs, 10 have cats, and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. If no one has all three kinds of pets, how many patrons have none of these pets?
8. From a survey of 100 college students, a marketing research company found that 75 students owned stereos, 45 owned cars, and 35 owned cars and stereos. a) How many students owned either a car or a stereo? $\qquad$ b) How many students did not own either a car or a stereo? $\qquad$

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Probability

Problem 501

A Box contains seven balls with different colors. Three balls are drawn from the box with replacement. find the probability thea the drown bulls have different cators.

Problem 502

Three numbers are randomly selected from the numbers 1,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,91,2,3,4,5,6,7,8,9 without replacement. Find the probability that twe numbers of them are odd

Problem 503

Problem 504

Find the value of t0.010t_{0.010}t0.010​ for a ttt-distribution with 34 degrees of freedom. Round your answer to three decimal places, if necessary.Answer

Problem 505

Problem 506

We are given two events such that p(A)=0.4,p(B)=0.5p(A)=0.4, p(B)=0.5p(A)=0.4,p(B)=0.5, and p(A∩B)=0.2p(A \cap B)=0.2p(A∩B)=0.2, then p(B∣A)=p(B \mid A)=p(B∣A)= a. 0.6 b. 0.4 c. 0.5 d. none of them e. 0.1

Problem 507

Problem 508

Problem 509

Problem 510

Problem 511

Problem 512

You pick a card at random. Without putting the first card back, you pick a second card at random.3 45What is the probability of picking a 5 and then picking a 3 ? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 513

You flip a coin twice.What is the probability of getting tails and then getting tails? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 514

You pick a card at random. Without putting the first card back, you pick a second card at random.2 3 4 5What is the probability of picking a 3 and then picking a divisor of 42?42 ?42? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 515

Problem 516

You spin the spinner twice.What is the probability of landing on an odd number and then landing on an odd number? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 517

You pick a card at random, put it back, and then pick another card at random. 1 2 3 4 5What is the probability of picking a factor of 8 and then picking a number greater than 2?2 ?2? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 518

You flip a coin twice.What is the probability of getting heads and then getting heads? Simplify your answer and write it as a fraction or whole number. □\square□

Problem 519

Problem 520

Problem 521

A postal carrier delivered letters, ads, and magazines. Find probabilities for various scenarios based on the total distributions.

Problem 522

Find the percentile of 7.1 lbs, calculate Q1,Q2,Q3Q_{1}, Q_{2}, Q_{3}Q1​,Q2​,Q3​, create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

Problem 523

4.- Binomial Distribution. Last year, 64%64\%64% of adults liked superhero movies. For 7 adults, find: a) Probability exactly 4 enjoy them. b) Probability at least 6 enjoy them.

Problem 524

Calcola la probabilità di estrarre un numero multiplo di 3 da 22 palline, dato che il numero è dispari. [411]\left[\frac{4}{11}\right][114​]

Problem 525

Due mazzi di carte da 40. Calcola la probabilità di avere due re dato che sono uscite due figure e viceversa. [19;1]\left[\frac{1}{9} ; 1\right][91​;1]

Problem 526

Un'urna ha 2 palline bianche e 3 nere. Calcola la probabilità di estrazione della pallina bianca in 7 tentativi: a. solo la prima volta; b. una volta; c. 5 volte; d. sempre; e. mai; f. almeno una volta.

Problem 527

Abbiamo due urne: la prima ha 4 rosse e 6 bianche, la seconda 3 rosse e 2 bianche. Calcola le probabilità di estrarre:a) due rosse; b) due bianche; c) una rossa e una bianca. Risultati: a) 1145\frac{11}{45}4511​; b) 845\frac{8}{45}458​; c) 2645\frac{26}{45}4526​.

Problem 528

Due mazzi di carte: 40 e 52. Se lanciando due dadi si ottengono uguali, si estrae dal primo mazzo. Probabilità di avere una figura e un asso dal mazzo da 40 è [1767]\left[\frac{17}{67}\right][6717​].

Problem 529

A card is drawn from a 52-card deck. Find the probability of it being an honor card and a face card.

Problem 530

Choose 10 numbers. Find P(E′)\mathrm{P}(E^{\prime})P(E′) if P(E)=510\mathrm{P}(E)=\frac{5}{10}P(E)=105​ and explain your calculations.

Problem 531

Find the probability that the battery lasts between 50 and 70 hours for a computer with mean 50 and SD 15 hours.

Problem 532

Label the guessing probability for a true/false question as "theoretical" or "experimental": Chance is 50%50\%50%.

Problem 533

Classify the probability: Is picking a blue marble from 2 blue and 5 yellow marbles 25\frac{2}{5}52​ theoretical or experimental?

Problem 534

I drew a marble 5 times: 1 blue and 4 yellow. What is the probability of picking a blue marble? Answer: 14\frac{1}{4}41​.

Problem 535

Problem 536

Problem 537

13. At a university, the probability that an incoming freshman will graduate within four years is 0.553 . What is the probability that at least 60 out of a group of 100 incoming freshman will graduate in four years?

Problem 538

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a 2 . A. 113\frac{1}{13}131​ B. 910\frac{9}{10}109​ C. 110\frac{1}{10}101​ D. 1213\frac{12}{13}1312​

Problem 539

Problem 540

Solve the problem involving probabilities with independent events. A card is drawn from a 52-card deck and a fair coin is flipped. What is the probability of getting jack and heads? A. 126\frac{1}{26}261​ B. 14\frac{1}{4}41​ C. 352\frac{3}{52}523​ D. 113\frac{1}{13}131​

Problem 541

Problem 542

Problem 543

Problem 544

Problem 545

P(−1.66<Z<0.66) P(-1.66 < Z < 0.66) P(−1.66<Z<0.66)

Problem 546

Problem 547

Problem 548

Problem 549

Problem 550

Problem 551

Three numbers are randomly selected from the numbers $1,2,3,4,5,6,7,8,9$ without replacement. Find the probability that twe numbers of them are odd

Find the value of $t_{0.010}$ for a $t$ -distribution with 34 degrees of freedom. Round your answer to three decimal places, if necessary.
Answer

We are given two events such that $p(A)=0.4, p(B)=0.5$ , and $p(A \cap B)=0.2$ , then $p(B \mid A)=$ a. 0.6 b. 0.4 c. 0.5 d. none of them e. 0.1

You pick a card at random. Without putting the first card back, you pick a second card at random.
3 45
What is the probability of picking a 5 and then picking a 3 ? Simplify your answer and write it as a fraction or whole number. $\square$

You flip a coin twice.
What is the probability of getting tails and then getting tails? Simplify your answer and write it as a fraction or whole number. $\square$

You pick a card at random. Without putting the first card back, you pick a second card at random.
2 3 4 5
What is the probability of picking a 3 and then picking a divisor of $42 ?$ Simplify your answer and write it as a fraction or whole number. $\square$

You spin the spinner twice.
What is the probability of landing on an odd number and then landing on an odd number? Simplify your answer and write it as a fraction or whole number. $\square$

You pick a card at random, put it back, and then pick another card at random. 1 2 3 4 5
What is the probability of picking a factor of 8 and then picking a number greater than $2 ?$ Simplify your answer and write it as a fraction or whole number. $\square$

You flip a coin twice.
What is the probability of getting heads and then getting heads? Simplify your answer and write it as a fraction or whole number. $\square$

Find the percentile of 7.1 lbs, calculate $Q_{1}, Q_{2}, Q_{3}$ , create a box plot, and analyze its skewness. Also, find binomial probabilities for 4 and at least 6 out of 7 adults enjoying superhero movies.

4.- Binomial Distribution. Last year, $64\%$ of adults liked superhero movies. For 7 adults, find: a) Probability exactly 4 enjoy them. b) Probability at least 6 enjoy them.

Calcola la probabilità di estrarre un numero multiplo di 3 da 22 palline, dato che il numero è dispari. $\left[\frac{4}{11}\right]$

Due mazzi di carte da 40. Calcola la probabilità di avere due re dato che sono uscite due figure e viceversa. $\left[\frac{1}{9} ; 1\right]$

Abbiamo due urne: la prima ha 4 rosse e 6 bianche, la seconda 3 rosse e 2 bianche. Calcola le probabilità di estrarre:
a) due rosse; b) due bianche; c) una rossa e una bianca.
Risultati: a) $\frac{11}{45}$ ; b) $\frac{8}{45}$ ; c) $\frac{26}{45}$ .

Due mazzi di carte: 40 e 52. Se lanciando due dadi si ottengono uguali, si estrae dal primo mazzo. Probabilità di avere una figura e un asso dal mazzo da 40 è $\left[\frac{17}{67}\right]$ .

Choose 10 numbers. Find $\mathrm{P}(E^{\prime})$ if $\mathrm{P}(E)=\frac{5}{10}$ and explain your calculations.

Label the guessing probability for a true/false question as "theoretical" or "experimental": Chance is $50\%$ .

Classify the probability: Is picking a blue marble from 2 blue and 5 yellow marbles $\frac{2}{5}$ theoretical or experimental?

I drew a marble 5 times: 1 blue and 4 yellow. What is the probability of picking a blue marble? Answer: $\frac{1}{4}$ .

You are dealt one card from a 52-card deck. Find the probability that you are not dealt a 2 . A. $\frac{1}{13}$ B. $\frac{9}{10}$ C. $\frac{1}{10}$ D. $\frac{12}{13}$

Solve the problem involving probabilities with independent events. A card is drawn from a 52-card deck and a fair coin is flipped. What is the probability of getting jack and heads? A. $\frac{1}{26}$ B. $\frac{1}{4}$ C. $\frac{3}{52}$ D. $\frac{1}{13}$

$P(-1.66 < Z < 0.66)$

What is the probability of selecting a random month of the year and getting a month that starts with the letter "J"?
If you get stuck, consider listing the sample space. Submit

Problem 2 $4-40$
A bag has 6 blocks in it.
Joel picks a block out of the bag 60 times. He gets a green block 43 times.
Based on these results, how many blocks do you expect to be green? $\square$ Submit and Explain

Let $X$ be a non-negative random variable with a distribution such that $P(X>a)=e^{-1.4 a}$ for all $a>0$ . Calculate $P\left(e^{X}-0.8 \leq 1\right)$ .
Answer: $\square$

When rolling two dice, the probability of rolling doubles is $1 / 6$ , suppose a game player roll the dice 5 times hoping to get double. What is the probability that the player gets doubles between 2 to 5 times (exclusive)? (round to the third decimal)

In a binomial distribution if it is expected that $56 \%$ of people will have pets then when a sample of 125 people are selected it is expected that 70 will not have pets. True False

A deck of 108 cards contains an equal number of each color: red, yellow, green, and black. If a card is chosen at random, what is the probability that it is black? $\frac{1}{27}$ $\frac{1}{108}$ $\frac{1}{4}$ $\frac{1}{3}$

Numeric 1 point
When rolling two dice, the probability of rolling doubles is $1 / 6$ , suppose a game player roll the dice 5 times hoping to get double. What is the probability that the player gets doubles less than 3 times? (round to the third decimal)
Type your answer...

Encuesta a estudiantes sobre sus preferencias en 3 plataformas: Amazon Prime, HBO y Netflix. Responde:
a.) Estudiantes con las 3 plataformas: b.) Estudiantes con al menos una plataforma: c.) Estudiantes con exactamente una plataforma: d.) Estudiantes con Amazon Prime o HBO, pero no Netflix: