Probability

Problem 301

Determine whether the following statement is true or false. The odds against E can always be found by reversing the ratio representing the odds in favor of E.
The statement is $\square$ because the odds in favor of $E$ are found by taking the probability that $\square$ a dividing by the probability that $\square$ and the odds against $E$ are found by taking the probability that $\square$ and dividing by the probability that $\square$

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Problem 302

A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5 .
The probability is $\square$ (Type an integer or a fraction. Simplify your answer.)

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Problem 303

One card is randomly selected from a deck of cards. Find the odds against drawing a black ten.
The odds against drawing a black ten are $\square$ $\square$ (Simplify your answers.)

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Problem 304

Elisa throws a six-sided dice and a four-sided dice numbered $1,3,5$ and 7 at the same time and adds up the scores.
The sample space diagram below shows all the possible outcomes. \begin{tabular}{|c|c|c|c|c|c|c|} \hline & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ \\ \hline $\mathbf{1}$ & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline $\mathbf{3}$ & 4 & 5 & 6 & 7 & 8 & 9 \\ \hline $\mathbf{5}$ & 6 & 7 & 8 & 9 & 10 & 11 \\ \hline $\mathbf{7}$ & 8 & 9 & 10 & 11 & 12 & 13 \\ \hline \end{tabular}
Find the probability that Elisa gets a total which is 4 or less.

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Problem 305

Save he graph shows the probability of cardiovascular disease by age nd gender. Use the graph to find the probability that a randomly elected man between the ages of 45 and 54
Probability of Cardiovascular Disease . has cardiovascular disease. does not have cardiovascular disease. a. Use the graph to estimate the probability that a randomly selected man between the ages of 45 and 54 has cardiovascular disease. This probability is approximately $\square$ (Type a decimal to two places.)

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Problem 306

Word problem involing calculations from a normal distribution 0.5 Natasha
A ride-sharing company has computed its mean fare to be $\$ 33.00$ , with a standard deviation of $\$ 5.20$ . Suppose that the fares are normally distributed. Español
Complete the following statements. (a) Approximately $\square$ of the company's rides have fares between $\$ 17.40$ and $\$ 48.60$ . (b) Approximately $68 \%$ of the company's rides have fares between $\$$ $\square$ and \\square$ .

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Problem 307

The table shows the distribution, by age, of a random sample of 3910 Age Distribution of Moviegoers moviegoers ages 12-74. If one moviegoer is randomly selected from this population, find the probability, expressed as a simplified fraction, that the moviegoer is not in the 65-74 age range. \begin{tabular}{|c|c|} \hline Ages & Number \\ \hline $12-24$ & 1330 \\ \hline $25-44$ & 1080 \\ \hline $45-64$ & 990 \\ \hline $65-74$ & 510 \\ \hline \end{tabular}
The probability is $\square$ (Type an integer or a simplified fraction.)

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Problem 308

MotoWin Auto Superstore is thinking about offering a two-year limited warranty for $\$ 952$ on all new cars of a certain model. The terms of the warranty would be that MotoWin would replace the car free of charge under certain, specified conditions. Replacing the car in this way would cost MotoWin $\$ 13,600$ . Suppose that under the warranty, there is a $7 \%$ chance that MotoWin would have to replace the car one time and a $93 \%$ chance they wouldn't have to replace the car. (If necessary, consult a list of formulas.)
If MotoWin knows that it will sell many of these warranties, should it expect to make or lose money from offering them? How much?
To answer, take into account the price of the warranty and the expected value of the cost from replacing the car. MotoWin can expect to make money from offering these warranties. In the long run, they should expect to make $\square$ dollars on each warranty sold. MotoWin can expect to lose money from offering these warranties. In the long run, they should expect to lose $\square$ dollars on each warranty sold. MotoWin should expect to neither make nor lose money from offering these warranties.

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Problem 309

20. [-/2 Points]
DETAILS JMODD8 3.3.054.
Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles $\square$ (b) odd or doubles $\square$

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Problem 310

On the basis of his sale records, a salesman knows that his weekly commissions have the probabilities shown below. \begin{tabular}{|l|c|c|c|c|c|} \hline Commission & 0 & $\$ 1,000$ & $\$ 2,000$ & $\$ 3,000$ & $\$ 4,000$ \\ \hline Probability & 0.11 & 0.2 & 0.49 & 0.1 & 0.1 \\ \hline \end{tabular}
Find the salesman's expected commission. \\square$

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Problem 311

Suppose the birth weights of full-term babies are normally distributed with mean 3250 grams and standard deviation $\sigma=480$ grams. Complete parts (a) through (c) below. (4) n 17 (c) Suppose the area under the normal curve to the riaht of $X=4210$ is 0.0228 . Provide an interpretation of this result. Select the correct choice below and fill in the answer box to complete your choice. (Type a whole number.) A. The probability is 0.0228 that the birth weight of a randomly chosen full-term baby in this population is less than $\square$ grams. B. The probability is 00228 that the birth weight of a randomly chosen full-term baby in this population is more than $\square$ grams. solve this View an example Get more help - Clear all Check answer

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Problem 312

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. $\square$
Submit Question

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Problem 313

A bag contains 7 orange marbles, 5 green marbles, and 8 purple marbles. Two marbles are randomly selected from the bag with replacement. Find the following probabilities. Write your answers as fractions in the simplest form. a. A green marble and then a purple marble is randomly selected. $\square$ b. A purple marble and then a green marble is randomly selected. $\square$ c. Two orange marbles are selected. $\square$ d. Neither marble selected is orange. $\square$

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Problem 314

3) John runs a computer software store. Yesterday he counted 127 people who walked store, 58 of whom came into the store. Of the 58, only 25 bought something in the store a) Estimate the probability that a person who walked by the store will enter the store. $P(E)=$ b) Estimate the probability that a person who walks into the store will buy something. $P(E B)=-$ c) Estimate the probability that a person who walks by the store come in and buy somet $P(W B)=$ d) Estimate the probability that a person who comes into the store will buy nothing $P(E B N)=$

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Problem 315

Midterm Exam: Ch $1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Question 21 of 30 (1 point) I Question Attempt: 1 of 1 Time Remaining: 1:04:37 Jonathan Español 13 $\equiv 14$ $=15$ = 16 $=17$ $=18$ $=19$ 20 21 22 23 24
Assume that a fair die is rolled. The sample space is $\{1,2,3,4,5,6\}$ , and all the outcomes are equally likely. Find $P$ (Even number). Express your answer in exact form. $P($ Even number $)=$ $\square$

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Problem 316

Wh... Untitled document -. Traditional | Stats | N... Defense | Stats | NBA... Utah vs LA Stats \& P... Ivica Zube
Midterm Exam: Ch $1(1,2) \mathbf{2 ( 1 , 2 , 3 )} 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Question 23 of 30 (1 point) I Question Attempt: 1 of 1
13 $\equiv 14$ $=15$ = 16 $\equiv 17$ = 18 $=19$
If $P(A)=0.58, P(B)=0.7$ , and $P(A$ and $B)=0.5$ , find $P(A$ or $B)$ . $P(A \text { or } B)=$ $\square$

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Problem 317

< 13 14 15 $=16$ $\equiv 17$ 18 $=19$
Let $A$ and $B$ be events with $P(A)=0.8, P(B)=0.6$ , and $P(B \mid A)=0.5$ . Find $P(A$ and $B)$ . $P(A \text { and } B)=$ $\square$

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Problem 318

Weights of animals which are modeled by $\mathrm{N}(420 \mathrm{lbs}, 50 \mathrm{lbs}$ .)
6. There is a $94.52 \%$ chance of having the same weight as Jerry the Giraffe. How many standard deviations from the mean is he? a. 1.60 standard deviations b. 1.65 standard deviations light green c. 2.00 standard deviations black d. -1.50 standard deviations yellow grey
7. How much does Jerry weigh? a. 502 lbs purple b. 500 lbs dark red c. 520 lbs dark green d. 345 lbs light brown

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Problem 319

Untitled document -... Traditional | Stats | N... Defense | Stats | NBA... Utah vs LA Stats \& P... Ivica Zubac /// Stats /... Home - Northern Ess... Content Midterm Exam: Ch $1(1,2) \mathbf{2}(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Time Remaining: 58:14 Jona Question 26 of 30 (1 point) | Question Attempt: 1 of 1 < 13 $\equiv 14$ $\equiv 15$ 16 $=18$ $=19$ $=20$ $=21$ $=22$ $\equiv 23$
A fair coin is tossed four times. What is the probability that the sequence of tosses is HHHH? Write your answer as a fraction or a decimal, rounded to four decimal places.
The probability that the sequence of tosses is HHHH is $\square$ .

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Problem 320

h Jay I Wh. Untitied document -.. Time Remaining: 53:18 Miaterm Exam: Ch $1(1,2) 2(1,2,3) 3(1,2,3) 4(1,2) 5(1,2,3) 6(1,2)$ Question 28 of 30 (1 point) I Question Attempts 1 of 1 19 $=20$ $\equiv 21$ $\equiv 22$ 23 $=24$ $=26$ $\equiv 27$ $\equiv 28$ 29
Take a guess: A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at each answer. Let $X$ be the number of questions answered correctly. Round the answers to at least four decimal places.
Part: $0 / 2$
Part 1 of 2 (a) $P(6)=0.0097$
Part: $1 / 2$
Part 2 of 2 (b) $P($ More than 3 $)=$ $\square$

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Problem 321

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. $\square$ Basic

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Problem 322

Wait time at the DMV has an average of 37 minutes with a standard deviation of 8 minutes.
8. What is the z score for 20 minutes? a. 2.13 yellow b. -2.13 white c. 2.12 orange d. -2.12 grey
9. What is the z -score for 60 minutes? a. 2.88 dark green b. -2.88 blue c. 2.87 light brown d. -2.87 yellow
10. What is the probability of waiting less than 20 minutes? a. $98.34 \%$ purple b. $98.30 \%$ pink c. $1.66 \%$ black d. $1.70 \%$ red
11. What is the probability of waiting less than 60 minutes? a. $99.80 \%$ dark brown b. $99.79 \%$ orange c. $00.20 \%$ pink d. $00.21 \%$ blue
12. What is the probability of waiting between 20 and 60 minutes? a. $98.14 \%$ blue

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Problem 323

A ball is drawn randomly from a jar that contains 4 red balls, 4 white balls, and 9 yellow ball. Find the probability of the given event. (a) A red ball is drawn;
The probability is : $P(R)=$ (b) A white ball is drawn;
The probability is : $P(W)=$ (c) A yellow ball is drawn;
The probability is : $P(Y)=$ $\square$

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Problem 324

The starting salaries of new graduates in a particular field are normally distributed with a mean of \ $52,000 and a standard deviation of \$4,500. a) What percentage of graduates earn between$ \ $47,500$ and $\$ 56,500$ ? b) What is the cutoff salary for the top 10\% of earners? c) If a company hires 50 graduates, how many would you expect to have starting salaries below $\$ 45,000$ ?

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Problem 325

Each year on Halloween, each child in Carrboro will visit an average of 52 houses with a standard deviation of 6 houses. The distribution of number of houses visited is approximately Normally distributed. (For \#s 1-5.)
1. What is the probability that a child will visit fewer than 47 houses this year?
2. What is the probability that they will visit more than 60 houses?
3. What percentage of children will visit between 45 and 62 houses?
4. What is the $80^{\text {th }}$ percentile of houses visited?
5. What number of houses does a child visit to be in the lowest $15 \%$ of trick-or-treaters?
6. Asher lives in Chapel Hill where the mean number of houses is 43 . He visits 50 houses which puts him in the $85^{\text {th }}$ percentile. What is the standard deviation?
7. Phin lives in Hillsborough. He visits 36 houses which is more than $32 \%$ of children in Hillsborough. The standard deviation is 7 houses. What is the mean?

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Problem 326

The probability mass function of a random variable $X$ is given by $p(i)=\frac{c \lambda^{i}}{i!}, \mathrm{i}=0,1,2, \ldots$ , where $\lambda$ is som positive value. Find ia) $P\{X=0\}$ and (b) $P\{X>2\}$ .

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Problem 327

3. Genetics Suppose a married man and woman both carry a gene for cystic fibrosis but don't have the disease themselves. According to the laws of genetics, the probability that their first child will develop cystic fibrosis is 0.25 . (a) Explain what this probability means. (b) If the couple has 4 children, is one of them guaranteed to get cystic fibrosis? Explain.

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Problem 328

19. Airport security The Transportation Security 9296 Administration (TSA) is responsible for airport safety. On some flights, TSA officers randomly select passengers for an extra security check prior to boarding. One such flight had 76 passengers - 12 in first class and 64 in coach class. Some passengers were surprised when none of the 10 passengers chosen for screening were seated in first class. We can use a simulation to see if this result is likely to happen by chance. (a) State the question of interest using the language of probability. (b) How would you use random digits to imitate one repetition of the process? What variable would you measure? (c) Use the line of random digits below to perform one repetition. Copy these digits onto your paper. Mark directly on or above them to show how you determined the outcomes of the chance process.
7148709984290771486361683470526222451025

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Problem 329

A survey reported that $66 \%$ of graduating high school students enroll in college. Consider a classroom with 30 graduating high school students. What is the probability that 25 or MORE students are expected to enroll in college? $\qquad$ Note: Enter XXX.XX AT LEAST ONE DIGIT BEFORE THE DECIMAL, TWO AFTER and round up AFTER all calculations. Thus, 7 is entered as 7.00; 3.562 is entered as $\square$ A

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Problem 330

\text{Refer to Exercise 39. Define event } A : \text{ sum is 5. Find } P(A). \text{ (The scenario involves rolling 2 four-sided dice.)}

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Problem 331

Q2. An electrical system consists of four components as shown below. The system works if A and D and either B or C works. The probability of each component working is shown in the figure below.
Find the probability that the system works.

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Problem 332

On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. \begin{tabular}{|l|c|c|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & 0 times a week & $1-2$ times a week \\ \hline Country & 4 & 4 \\ \hline Rock & 5 & 2 \\ \hline Rap & 5 & 7 \\ \hline \end{tabular}
What is the probability that a randomly selected student sings in the shower 1-2 times a week given that the student prefers rock?
Simplify any fractions. $\square$

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Problem 333

Complete the probability distribution table below and then answer the questions. \begin{tabular}{|c|c|c|c|c|c|} \hline Item & Burrito & \multicolumn{2}{|c|}{ Taco } & Salad & \begin{tabular}{c} Burrito and \\ Taco \end{tabular} \\ \hline Taco and Salad \\ \hline Probability & .18 & 23 & .10 & .38 & 11 \\ \hline \end{tabular} - What is the probability a taco is NOT purchased?

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Problem 334

ARR 3.2.3 Mastery Check
POSSIBLE POINTS: 25 Congratulations! You have made it on to a quiz show and are in the final round. You have two questions left to win $\$ 1,000,000$ . All of the questions are multiple choice with 4 possible answers. However, the questions have become so difficult that you are not sure what the answer is at all, and only have a $25 \%$ chance of correctly guessing the answer. If you get the next question wrong, you will only win $\$ 64,000$ . If you get the next question right, but miss the final question, you will only win $\$ 125,000$ . You must get both questions correct to earn the $\$ 1,000,000$ .
What is the probability you miss the next question and only win $\$ 64,000$ ? 0.75 0.33 0.25 0.5

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Problem 335

3. ( 0.1 puntos) Sse estima que el tiempo en horas de trabajo autónomo que se necesita para preparar y estudiar el temario de Técnicas de Investigación sigue una ley normal de media 40 horas y variancia 9 horas ${ }^{2}$ . La probabilidad de que los alumnos dediquen menos de 45 horas es 0.952 ¿Cuál es la probabilidad que una persona seleccionada al azar dedique un tiempo de trabajo autónomo entre 35 y 45 horas?

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Problem 336

204 studenti hanno riempito un questionario riguardo agli sport praticati. In totale ci sono 88 studenti che giocano a Football, 92 che giocano a Cricket and 85 che giocano a Tennis. Ci sono 29 studenti che giocano solo a Tennis e a Football. Ci sono 15 studenti che giocano solo a Football e a Cricket. Ci sono 21 studenti che giocano solo a Tennis e a Cricket. Ci sono 4 studenti che giocano a tutti e tre gli sports. a. Quanti studenti praticano esattamente uno sport? $\square$ b. Quanti più studenti ci sono che non giocano a nessuno di questi sports rispetto al numero di studenti che giocano a tutti e tre? $\square$ c. Qual'è la probabilità che uno studente scelto a caso non giochi a nessuno di questi tre sports? Dai una risposta nella forma di una frazione ridotta ai minimi termini. $\square$ Finish attempt ...

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Problem 337

There is a pack of four cards numbered 1 to 4 . There is also a coin with one side marked as heads and the other tails. As a trial of an experiment, a card was drawn and the coin was flipped. The number ( 1 to 4 ) of the card and the side ( $H$ for heads and $T$ for tails) of the coin from the flip were recorded.
Here is a summary of the data from 825 trials. \begin{tabular}{|r|c|c|c|c|c|c|c|c|} \hline Outcome & $1 H$ & $2 H$ & $3 H$ & $4 H$ & $1 T$ & $2 T$ & $3 T$ & $4 T$ \\ \hline Number of trials & 110 & 104 & 100 & 110 & 98 & 105 & 97 & 101 \\ \hline \end{tabular}
Answer each part. (a) Assuming the card was chosen at random and the coin is fair, find the theoretical probability of this event: both drawing the 2 card and flipping heads, in a single trial. Round your answer to the nearest thousandth. $\square$ (b) Use the data to find the experimental probability of this event: both drawing the 2 card and flipping heads, in a single trial. Round your answer to the nearest thousandth. $\square$ (c) Choose the statement that is true. The smaller the number-of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability. The experimental probability will never be very close to the theoretical probability, no matter the number of trials. The larger the number of trials, the greater the likelihood that the experimental probability will be close to the theoretical probability.

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Problem 338

2. Events $A$ and $B$ are given such that $\mathrm{P}(A)=\frac{7}{10}, \mathrm{P}(A \cup B)=\frac{9}{10}$ and $\mathrm{P}(A \cap B)=\frac{3}{10}$ . Find: (b) $\mathrm{P}\left(B^{\prime} \cap A\right)$ (e) $\mathrm{P}\left(B \mid A^{\prime}\right)$ (c) $\mathrm{P}\left(B \cap A^{\prime}\right)$

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Problem 339

The lifespan of some macaws in captivity is normally distributed. Their lifespan has a mean of 50 years and a standard deviation of 8 years.
What is the probability of a macaw with a lifespan greater than 60 years?

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Problem 340

Suppose a box contains 2 blue, 2 red, 3 purple, and 3 green pencils.
Find $P($ not red|not green).

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Problem 341

22. Monty Hall problem In Parade magazıne, a re ser posed the following question to Marilyn vos Savant and the "Ask Marilyn" column:
Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say \#1, and the host, who knows what's behind the doors, opens another door, say \#3, which has a goat. He says to you, "Do you want to pick door \#2?" Is it to your advantage to switch your choice of doors? ${ }^{4}$ The game show in question was Let's Make a Deal and the host was Monty Hall. Here's the first part of Marilyn's response: "Yes; you should switch. The first door has a $1 / 3$ chance of winning, but the second door has a $2 / 3$ chance." Thousands of readers wrote to Marilyn to disagree with her answer. But she held her ground. (a) Use an online Let's Make a Deal applet to perform at least 50 repetitions of the simulation. Record whether you stay or switch (try to do each about half the time) and the outcome of each repetition. (b) Do you agree with Marilyn or her readers? Explain.

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Problem 342

2. Continue to love Gaussian: $X$ and $Y$ are independent identically distributed (i.i.d.) Gaussian, i.e., $X \sim N\left(\mu, \sigma^{2}\right)$ , $Y \sim N\left(\mu, \sigma^{2}\right)$ . (a) ( $\mathbf{5} \mathbf{p t s}$ ) Define $Z=\sqrt{2} X+\sqrt{3} Y$ , find $f_{Z}(z)$ . (b) ( $\mathbf{1 0} \mathbf{~ p t s )}$ Set $\mu=0, \sigma^{2}=1$ . Find $P(\sqrt{5} \leq Z \leq 5)$ . Leave your answer in terms of $Q(\cdot)$ function.
Recall: $Q(x)=\int_{x}^{\infty} \frac{1}{\sqrt{2 \pi}} e^{-\frac{t^{2}}{2}} d t$ . (c) ( $\mathbf{1 0} \mathbf{p t s )}$ Suppose now we have $X$ and $Y$ with the same Gaussian marginals $f_{X}(x)$ and $f_{Y}(y)$ , and $\mu=0, \sigma^{2}=1$ . Further, we are told that $X$ and $Y$ are jointly Gaussian and $C_{X Y}=\frac{1}{2}$ . Find $f_{X \mid Y}(x \mid y)$ . How does your answer compare with the i.i.d. case stated in the original question above with $\mu=0, \sigma^{2}=1$ ?

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Problem 343

6). Dari setumpuk kartu bridge yang terdiri atas 52 kartu diambil sebuah kartu secara acak. Tentukan peluang munculnya kartu wajik dengan syarar kartu lack, Queen, dan king terpilih

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Problem 344

It is intended that if a patient has the disease, they test "positive", and if a patient does not have the disease, they test "negative".
However, the tests are not perfect, and only $99 \%$ of people who have the disease test positive. Also, $2 \%$ of people who do not have the disease test positive.
The tree diagram shows some of this information.
Write down the value of (b.i) $a$ .

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Problem 345

The given table is the probability distribution of the number of left handed (LH) students in a class of size $\mathbf{6}$ , given that the probability that a person is left handed is $\mathbf{2 0} \%$ . \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline $x$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline $P(X=x)$ & 0.1074 & 0.2684 & 0.3020 & 0.2013 & 0.0881 & 0.0264 & 0.0064 \\ \hline \end{tabular}
What is the probability of having 5 LH students in a class?

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Problem 346

The given table is the probability distribution of the number of left handed (LH) students in a class of size $\mathbf{6}$ , given that the probability that a person is left handed is $20 \%$ . \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline $x$ & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\ \hline $P(X=x)$ & 0.1074 & 0.2684 & 0.3020 & 0.2013 & 0.0881 & 0.0264 & 0.0064 \\ \hline \end{tabular}
What is the probability of having less than $\mathbf{3} \mathrm{LH}$ students in a class?

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Problem 347

Use the percentage of 18-34 year olds who agree with the statement "I would buy this product" to calculate the sales potential for a target population of 30,000 18-34 year olds. \begin{tabular}{|l|c|c|} \hline \multirow{2}{*}{} & \multicolumn{2}{|c|}{ Age (years) } \\ \cline { 2 - 3 } & $\mathbf{1 8 - 3 4}$ & $35-54$ \\ \hline Agree & 20 & 12 \\ \hline Somewhat Agree & 18 & 13 \\ \hline Somewhat Disagree & 7 & 17 \\ \hline Disagree & 5 & 18 \\ \hline \end{tabular} $[?]$ people

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Problem 348

KK. 1 Theoretical probability 2MS
You pick a card at random. 5 7 8
What is P (even or prime)? Simplify your answer and write it as a fraction or whole number. $\square$ Submit

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Problem 349

KK. 1 Theoretical probability 2MS
You pick a card at random. 6 7 8
What is P (greater than 8 or prime)? Simplify your answer and write it as a fraction or whole number. $\square$ Submit

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Problem 350

AA. 1 Theoretical and experimental probability $2 L 5$
From a sample tray, 3 of the last 9 cake samples chosen were chocolate. What is the experimental probability that the next piece of cake taken will be chocolate?
Simplify your answer and write it as a fraction or whole number. $\mathrm{P}($ chocolate $)=$ $\square$

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Problem 351

11 Majid has a spinner.
Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, "The probability that the arrow will land on 2 is $\frac{1}{3}$ because the spinner has three sections." Is Majid correct? You must give a reason for your answer.

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Problem 352

Using the following table: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline Age & \multirow[t]{2}{}{\begin{tabular}{l} Herbert \\ 10 \end{tabular}} & \multirow[t]{2}{}{\begin{tabular}{l} Asimov \\ 5 \end{tabular}} & \multirow[t]{2}{*}{ $\frac{B r o o k s}{10}$ } & Rowling & \multicolumn{2}{|l|}{Goodkind} & Tot & & \\ \hline Teen (19 or younger) & & & & 40 & 15 & & 80 & & \\ \hline Voung adull $(20-40)$ & 40 & 25 & 10 & 10 & 25 & & 1110 & & \\ \hline Older (41 or older) & 50 & 20 & 10 & 10 & 30 & & 120 & & \\ \hline Totals & 100 & 50 & 30 & 60 & 70 & & 310 & & \\ \hline \end{tabular}
What is the probability the reader's favorite is Herbert? Leave the answer in decimal form rounded to the nearest thousandth (three decimal places).

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Problem 353

Question 5 of 10 (1 point) I Question Attempt: 1 of 1 \begin{tabular}{|l|c|c|c|} \hline How students study & Morning & \begin{tabular}{c} Between \\ classes \end{tabular} & Evening \\ \hline Study in a group & 9 & 3 & 6 \\ \hline Study alone & 1 & 1 & 4 \\ \hline \end{tabular}
If a student who was surveyed is selected at random, find these probabilities, expressed as reduced fractions:
Part: $0 / 3$
Part 1 of 3 (a) The student studies in the evening.
The probability that the student studies in the evening is $\square$
Part: 1 / 3
Part 2 of 3 (b) The student studies in the morning or in a group.
The probability that the student studies in the morning or in a group is $\square$

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Problem 354

Andrea and Barsha are middle-distance runners for their school's track team. Andrea's time $A$ in the 400-meter race on a randomly selected day is approximately Normally distributed with a mean of 62 seconds and a standard deviation of 0.8 second. Barsha's time $B$ in the 400-meter race on a randomly selected day is approximately Normally distributed with a mean of 62.8 seconds and a standard deviation of 1 second. Assume that $A$ and $B$ are independent random variables.
What is the probability that Barsha beats Ashley in the 400 -meter race on a randomly selected day? 0.266 0.0368 0.734 0.00003 0.3284

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Problem 355

QUESTION 10
For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. $95.49 \%$ B. 99.74\% C. $97.59 \%$ D. $102.15 \%$

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Problem 356

Find the $z$ -score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

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Problem 357

Use the following scenario to answer Question \#2-5: Researchers randomly assigned newly laid python eggs to one of three water temperatures: hot, neutral, and cold. Hot duplicates the extra warmth provided by the mother python and cold duplicates the absence of the mother. The results are below. \begin{tabular}{|c|c|c|c|c|} \hline & Cold & Neutral & Hot & Total \\ \hline Hatched & 16 & 38 & 75 & 129 \\ \hline Did not hatch & 11 & 18 & 29 & 58 \\ \hline Total & 27 & 56 & 104 & 187 \\ \hline \end{tabular}
5. Are the events "did not hatch" and "neutral water" independent? Justify your answer by showing work and completing the justification below.
The events "did not hatch" and neutral water" $\square$ (are/ are not) independent because $\square$ (probability) $\square$ (does/ does not) equal $\square$ (probability).
Enter all probabilities rounded to two decimal places.

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Problem 358

For the following probability distribution of number of left handed (LH) students in a class of size eight, when $p=$ 0.04 , the probability that class has at least one LH students, is: \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline $\mathrm{P}(\mathrm{X}=\mathrm{x})$ & p & 3 p & 5 p & 6 p & 4 p & 2 p & 2 p & p & p \\ \hline \end{tabular} a) 0.28 b) 0.64 c) 0.36 d) 0.96

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Problem 359

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

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Problem 360

The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting an even number, given that a green disk is selected.
Find the probability of selecting an even number, given that a green disk is selected. $\square$ (Type an integer or a simplified fraction.)

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Problem 361

A survey found that people keep their televisions an average of 5.8 years. The standard deviation is 0.78 years. Find the percentage of people that owned theil TV for the given amount of time. Assume the random variable is normally distributed. Refer to the table of values ( Area Under the Standard Normal Distribution) as needed.
Part: $0 / 3$ $\square$
Part 1 of 3 (a) More than 8.14 years
The percentage of people who owned his or her TV for more than 8.14 years is $\square$ \%.

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Problem 362

A study showed that $\mathbf{8 \%}$ of American teenagers have tattoos. $\mathbf{2 8}$ teenagers are randomly selected. What is the probability that exactly $\mathbf{2}$ will have a tattoo? (Round the answer up to 4 decimal places) $\square$ Done

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Problem 363

For a non-standard normal distribution with $\boldsymbol{\mu}=\mathbf{3 0 0}$ and $\boldsymbol{\sigma}=\mathbf{6 0}$ , find the probability that $X$ assumes values less than 211. (Round answer up to $\mathbf{4}$ decimal places.)
Table for required value of $z$ Probability = $\square$ Done

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Problem 364

More pitching: A baseball pitcher threw 3935 pitches during part of a recent season. Of these, 1947 were thrown with no strikes on the batter, 996 were thrown with one strike, and 992 were thrown with two strikes.
Part 1 of 2 (a) What is the probability that a baseball pitch is thrown with no strikes? Round your answer to four decimal places. $P($ A baseball pitch thrown with no strikes $)=0.4948$
Part: $1 / 2$
Part 2 of 2 (b) What is the probability that a baseball pitch is thrown with fewer than two strikes? Round your answer to four decimal places. $P(A$ baseball pitch thrown with fewer than two strikes $)=$ $\square$ Skip Part Chack

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Problem 365

A pair of dice is rolled. What is the probability of getting a sum of $11 ?$
What is the probability of getting a sum of $11 ?$ $\square$ (Simplify your answer. Type a fraction.)

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Problem 366

The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is $\frac{1}{6}$ . Use this information to answer the questions below. (A) What is the probability that the state will be hit by a major tornado two years in a row? 0.02778 (Simplify your answer. Round to five decimal places as needed.) (B) What is the probability that the state will be hit by a major tornado in three consecutive years? (Simplity your answer. Round to five decimal places as needed.)

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Problem 367

\begin{problem} In a survey, 46,139 women were asked how many children they had. The results were as follows:
\begin{center} \begin{tabular}{|c|r|} \hline \textbf{Number of Children} & \textbf{Number of Women} \\ \hline 0 & 12,516 \\ 1 & 7,406 \\ 2 & 11,285 \\ 3 & 7,106 \\ 4 & 3,793 \\ 5 & 1,810 \\ 6 & 920 \\ 7 & 523 \\ 8 or more & 780 \\ \hline \textbf{Total} & 46,139 \\ \hline \end{tabular} \end{center}
What is the probability that a sampled woman has three children? Round your answer to four decimals.
The probability that a sampled woman has three children is $\square$ . \end{problem}

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Problem 368

\text{The probability that a smoking-related death was the result of either chronic obstructive pulmonary disease or lung cancer is } \square \text{ - (Round the answer to four decimal places.)} \\
\text{The Centers for Disease Control and Prevention reported that there were 443,000 smoking-related deaths in the United States in a recent year. The numbers of deaths caused by various illnesses attributed to smoking are as follows:} \\
\begin{tabular}{lr} \hline \text{Illness} & \text{Number} \\ \hline \text{Lung cancer} & 128,900 \\ \text{Ischemic heart disease} & 126,000 \\ \text{Chronic obstructive pulmonary disease} & 92,900 \\ \text{Other} & 95,200 \\ \hline \text{Total} & 443,000 \\ \end{tabular} \\

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Problem 369

Suppose that $9 \%$ of a certain batch of calculators have a defective case, and that $16 \%$ have defective batteries. Also, $2 \%$ have both a defective case and defective batteries. A calculator is selected from the batch at random. Find the probability that the calculator has a good case and good batteries.
The probability that the calculator has a good case and good batteries is $\square$ (Type an integer or a decimal.)

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Problem 370

The Midtown Bank has found that most customers at the tellers' windows either cash a check or make a deposit. The given table indicates the transactions for one teller for one day. Letting C represent "cashing a check" and D represent "making a deposit," express $\mathrm{P}(\mathrm{C\mid D})$ in words and find its value. \begin{tabular}{|c|c|c|c|} \hline Transaction & Cash Check & No Check & Totals \\ \hline Make Deposit & 55 & 18 & 73 \\ No Deposit & 24 & 12 & 36 \\ Totals & 79 & 30 & 109 \\ \hline \end{tabular}
Express $\mathrm{P}(\mathrm{C\mid D})$ in words. Choose the correct answer below. A. The probability of a customer making a deposit, given that the customer did not cash a check B. The probability of a customer not cashing a check, given that the customer made a deposit C. The probability of a customer not making a deposit, given that the customer cashed a check D. The probability of a customer cashing a check, given that the customer did not make a deposit $\mathrm{P}(\mathrm{C\mid D})=\square$ (Tvpe an inteaer or decimal rounded to two decimal places as needed.)

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Problem 371

According to an online source, the mean time spent on smartphones daily by adults in a country is 2.55 hours. Assume that this is correct and assume the standard deviation is 1.2 hours. Complete parts (a) and (b) below. a. Suppose 150 adults in the country are randomly surveyed and asked how long they spend on their smartphones daily. The mean of the sample is recorded. Then we repeat this process, taking 1000 surveys of 150 adults in the country. What will be the shape of the distribution of these sample means?
The distribution will be $\square$ because the values will be $\square$

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Problem 372

3. Consider the following summary for Gender and Preferred place to study \begin{tabular}{c|c|c|c|c} & Library & Home & Cafeteria & \\ \hline Male & 55 & 40 & 35 & \\ \hline Female & 100 & 50 & 20 & \\ \hline & & & & 300 \end{tabular} (a) If we select a student at random, what is the probability that the student is male and prefer library (b) If a student prefers to study at home, what is the probability that the student is Male (c) If $\mathrm{M}=\{$ student is male $\}, \mathrm{H}=\{$ student prefers to study at Home $\}$ , then are M and H independent? Explain

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Problem 373

5. In der Warenausgabe einer Fabrik, die SIM-Karten fertigt, werden Kontrollmessungen durchgeführt. SIM-Karten, die nicht vollständig funktionstüchtig sind, werden zu $95 \%$ als solche erkannt, allerdings kommt es auch in $2 \%$ der Fälle vor, dass wegen eines Messfehlers brauchbare SIM-Karten irrtümlich als fehlerhaft angezeigt werden. Erfahrungsgemäß sind $90 \%$ der produzierten SIM-Karten in Ordnung. a) (1) Eine zufällig herausgegriffene SIM-Karte wird als fehlerhaft angezeigt.
Mit welcher Wahrscheinlichkeit ist sie tatsächlich nicht zu gebrauchen? (2) Eine zufällig herausgegriffene SIM-Karte wird als funktionstüchtig angezeigt.
Mit welcher Wahrscheinlichkeit ist sie tatsächlich zu gebrauchen? b) Wie verringert sich die Fehlerquote, wenn die Kontrollmessung zweifach durchgeführt wird?

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Problem 374

6
A jar contains 27 balls. Twenty of the balls have a star on them and 10 of the balls have an elephant printed on them. Every ball has at least one of these symbols on it. a Draw a Venn diagram to illustrate this. $b$ If one ball is withdrawn at random, what is the probability of choosing: i a ball with an elephant printed on it? ii a ball with a star and an elephant printed on it? iii a ball with an elephant printed once but without a star?

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Problem 375

STAT 2361 Quir W 3 A
Name $\qquad$ Number. . $\operatorname{Sec} 5$ $\qquad$
1. A methad of 3 sagning probabilities which assumes that the experimental outcomes are equally Likely is referred to ss the $\qquad$
2. If $P(A)=0.6, \mathrm{P}(\mathrm{B})=0.35, \mathrm{~A}$ and B are independent, then $P(A \cup B)=$ $\qquad$
3. If $P(A \cap B) \neq P(A), P(B)$ , then $A$ and $B$ are called $\qquad$
4. If the two events A and B are murually exclusive then $P(A \cap B)=$ $\qquad$
5. The counting rule that is used for counting the number of experimental outcomes when $n$ objects re selected from a set of N objects where order of selection is important is called. $\qquad$
6. Any process that generates well-defined outcomes is $\qquad$
7. The probability of passing an exam is 0.68 . What is the probability of not passing the exam? \&. In how many ways can you select four students to interview from a list of ten students?
A survey of a college seniors resulted in the following crosstabulation regarding their GPA and whether or not they plan to go to graduate school. \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{5}{c|}{ Undergraduate GPA } \\ \hline Graduate School & $70-74$ & $75-79$ & 80 or more & Total \\ \hline Yes & 115 & 68 & 15 & \\ \hline No & 70 & 50 & 22 & \\ \hline Total & & & & \\ \hline \end{tabular}
9. If a student is planning to go graduate school, what is the probability that he has a GPA of 70 - 74
10. What is the probability that a student is planning to go to graduate school or his GPA is 75 or more?
11. Are the variables Graduate School and Undergraduate GPA independent? Support your answer

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Problem 376

Name $\qquad$ Number. $\qquad$
1. A methad of ansigning probabilities which thely is referred to ss the $\qquad$
2. If $\mathrm{P}(\mathrm{A})=0.6, \mathrm{P}(\mathrm{B})=0.35$ , A and B are independent, then $P(A \cup B)=$ $\qquad$
3. If $P(A \cap B) \neq P(A), P(B)$ , then $A$ and $B$ are called $\qquad$
Wrive then $P(A \cap B)=$ $\qquad$

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Problem 377

A survey of a college seniors resulted in the following crosstabulation regarding their GPA and whether or not they plan to go to graduate school. \begin{tabular}{|l|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Undergraduate GPA } \\ \hline Graduate School & $70-74$ & $75-79$ & 80 or more & Total \\ \hline Yes & 115 & 78 & 25 & \\ \hline No & 80 & 60 & 22 & \\ \hline Total & & & & \\ \hline \end{tabular}
9. If a student is planning to go graduate school, what is the probability that he has a GPA of 70 - 74
10. What is the probability that a student is planning to go to graduate school or his GPA is 75 or more?
11. Are the variables Graduate School and Undergraduate GPA independent? Support your answer

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Problem 378

Which of the following pairs of events are independent? Select all correct answers.
Select all that apply:
You roll a die twice. Event $A$ is getting an even number on the first roll. Event $B$ is getting a 4 on the second roll.
You roll a die twice. Event $A$ is getting a 6 on the first roll. Event $B$ is getting a total of more than 7 .
You flip a coin and roll a die. Event $A$ is getting heads on the coin. Event $B$ is getting a 3 or more on the die.
You roll a die and flip a coin. Event $A$ is getting heads with the coin and getting 5 on the die. Event $B$ is getting 3 or more on the die.

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Problem 379

A hotel manager assumes that $18 \%$ of the hotel rooms are booked. If the manager is correct, what is the probability that the proportion of rooms booked in a sample of 480 rooms would be less than $15 \%$ ? Round your answer to four decimal places.
Answer Tables Keypad
How to enter your answer (opens in new window) Keyboard Shortcuts

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Problem 380

$v \sqrt{44(0.2)(0.8)}$
10. Suppose the probability of a major earthquake on a given day is 1 out of 15,000 . Use the Poisson distribution to approximate the probability that there will be at least one major earthquake in the next 2000 days. poissun 1

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Problem 381

A large bag of marbles contains equal amounts of each of 10 colors. Milo selects 1 marble, looks at it, puts it back, and then selects another. Find the probability of Milo selecting the same color both times. A. 0.01 B. 0.2 C. 0.5 D. 0.1

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Problem 382

The length of human pregnancies is approximately normal with mean $\mu=266$ days and standard deviation $\sigma=16$ days. 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 pregnancy lasts less than 258 days?
The probability that a randomly selected pregnancy lasts less than 258 days is approximately . $\square$ (Round to four decimal places as needed.)

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Problem 383

The army of a certain country fired 1500 missiles. The probability that a fired missile will hit a critical infrastructure target is 2.9 per mille. Determine the (exact!) probability that at least two missiles will hit critical infrastructure targets. Please provide the result rounded to at least FOUR decimal digits.
Answer: $\square$ $\qquad$
Continuing the calculations from the previous problem please approximate the calculated probability using the Poisson theorem. Provide the approximation result rounded to FOUR decimal places.

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Problem 384

In a single fight in his category, a certain boxer wins with probability 0.31 , loses with probability 0.37 , and draws the remaining fights. Calculate the probability that in 12 fights, he will have 3 wins and 2 draws. Provide the result rounded to THREE decimal places.

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Problem 385

Suppose $A$ and $B$ are dependent events. If $P(A)=0.3$ and $P(B \mid A)=0.9$ , what is $P(A \cap B)$ ? A. 0.6 B. 0.3 C. 0.9 D. 0.27

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Problem 386

Which of the following is true if the given tree diagram represents independent events? A. The probability of buying nonfiction is larger than buying fiction. B. The probability of buying fiction versus nonfiction is not the sam regardless of whether or not the person buys a hardcover or paperback. C. The probability of buying a hardcover is less than buying a paperback D. The probability of buying fiction versus nonfiction is the same regardless of whether or not the person buys a hardcover or paperback.

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Problem 387

Which of the following is the appropriate notation when calculating conditional probabilities? A. $P(E \mid F)=\frac{P(E \cap F)}{P(F)}$ B. $P(E \mid F)=\frac{P(E \cap F)}{P(E)}$ C. $P(E \cap F)=P(E)+P(F)-P(E \cup F)$ D. $P(E \cup F)=P(E)+P(F)-P(E \cap F)$

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Problem 388

Which of the following is an example of a random event? A. Sherman going to the grocery store every Tuesday B. Holly's planned vacation to the beach this summer C. The number of children that will be born in the United States next year D. The age a person will be 6 years from now

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Problem 389

Which of the following best describes the type of probability used in the scenario below?
A bag has 6 red marbles, 8 blue marbles, and 4 yellow marbles. The probability of drawing a blue at random is $\frac{4}{9}$ . A. Unpredictable B. Random C. Theoretical D. Empirical

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Problem 390

Which of the following is an example of the compliment rule being applied to mutally exclusive events? A. The probability of drawing a spade or ace from a deck of cards. B. The probability of not drawing a spade or ace from a deck of cards. C. The probability of rolling a 5 or 9 on a die. D. The probability of not rolling a 5 or 9 on a die.

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Problem 391

Suppose that a life insurance company insures 510040 -year-old people in a given year. (Assume a death rate of 6 per 1000 people.) The cost of the premium is $\$ 200$ per year, and the death benefit is $\$ 55,000$ . How much can the company expect to gain (or lose) in a year?
The insurance company can expect $a(n) \$$ $\square$ $\square$ (Type a whole number)

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Problem 392

A bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue? $\frac{1}{3}$ $\frac{3}{10}$ $\frac{1}{5}$ $\frac{1}{7}$

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Problem 393

Fill out the black to make the given table below a probability distribution. \begin{tabular}{|l|ll|} \hline $x$ & $P(x)$ & \\ \hline 0 & 0 & \\ \hline 1 & 0.03 & \\ \hline 2 & 0.18 & \\ \hline 3 & & $\sigma$ \\ \hline 4 & 0.34 & \\ \hline \end{tabular} Submit Question

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Problem 394

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a queen?
The probability of drawing a queen is $\square$ $\square$ . (Type an integer or a simplified fraction.)

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Problem 395

A cafeteria has four different meal options. Each customer eats one type of meal. he probabilities of a customer chosen at random eating each type of meal are shown in the table below.
300 customers are chosen at random. How many of these customers would you expect to have eaten pasta? \begin{tabular}{|c|c|} \hline Meal & Probability \\ \hline Stew & $25 \%$ \\ \hline Pizza & $\frac{3}{10}$ \\ \hline Curry & 0.1 \\ \hline Pasta & $?$ \\ \hline \end{tabular}

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Problem 396

5. We have two boxes. The first box contains five green marbles and 11 red marbles; the second contains six green marbles and 10 red marbles. Jonathan selects a marble by first choosing one of the two boxes (at random). He then selects one of the marbles in that box (at random). If Jonathan selected a red marble, what is the probability that he selected a ball from the second box?

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Problem 397

7. Event A and Event B are mutually exclusive events. Find $P(A$ or $B)$ for each of the following: (a) $P(A)=0.35, P(B)=0.12$ (b) $P(A)=\frac{1}{4}, P(B)=\frac{1}{6}$ (c) $P(A)=\frac{3}{22}, P(B)=\frac{7}{110}$

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Problem 398

Find the indicated probability using the standard normal distribution. $\mathrm{P}(\mathrm{z}<-1.78 \text { or } z>1.78)$
Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. $P(z<-1.78$ or $z>1.78)=$ $\square$ (Round to four decimal places as needed.)

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Problem 399

- s s] The average monthly mortgage payment for recent home buyers in Winnipeg is $\$ 732$ , with standard thon of $\$ 421 \mathrm{~A}$ random sample of 125 recent home buyers is selected. The probability that their average aonthly mortgage payment will be more than $\$ 782$ is: (a) 0.9082 (b) 0.4522 (c) 0.5478 (d) 0.0478 (e) 0.0918 $\begin{array}{ll} \begin{array}{l} \mu=932 \\ \sigma=421 \\ n=125 \end{array} & \tau=\frac{\bar{x}-\mu}{\sigma}=\frac{782-732}{\frac{421}{\sqrt{n}}}=\frac{50}{37.71}=1.33 \\ \bar{x}=782 \end{array}$

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Problem 400

The army of a certain country fired 1800 missiles. The probability that a fired missile will hit a critical infrastructure target is 2.2 per mille. Determine the (exact!) probability that at least two missiles will hit critical infrastructure targets. Please provide the result rounded to at least FOUR decimal digits.
Answer: 0.9057
Continuing the calculations from the previous problem, please approximate the calculated probability using the Poisson theorem. Provide the approximation result rounded to FOUR decimal places.
Answer: $\square$

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1 2 3 4 5 6 7 ...16

Probability

Problem 301

Problem 302

A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5 .The probability is □\square□ (Type an integer or a fraction. Simplify your answer.)

Problem 303

One card is randomly selected from a deck of cards. Find the odds against drawing a black ten.The odds against drawing a black ten are □\square□ □\square□ (Simplify your answers.)

Problem 304

Problem 305

Problem 306

Problem 307

Problem 308

Problem 309

20. [-/2 Points]DETAILS JMODD8 3.3.054.Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles □\square□ (b) odd or doubles □\square□

Problem 310

Problem 311

Problem 312

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. □\square□Submit Question

Problem 313

Problem 314

Problem 315

Problem 316

Problem 317

< 13 14 15 =16=16=16 ≡17\equiv 17≡17 18 =19=19=19Let AAA and BBB be events with P(A)=0.8,P(B)=0.6P(A)=0.8, P(B)=0.6P(A)=0.8,P(B)=0.6, and P(B∣A)=0.5P(B \mid A)=0.5P(B∣A)=0.5. Find P(AP(AP(A and B)B)B). P(A and B)=P(A \text { and } B)=P(A and B)= □\square□

Problem 318

Problem 319

Problem 320

Problem 321

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. □\square□ Basic

Problem 322

Problem 323

Problem 324

Problem 325

Problem 326

The probability mass function of a random variable XXX is given by p(i)=cλii!,i=0,1,2,…p(i)=\frac{c \lambda^{i}}{i!}, \mathrm{i}=0,1,2, \ldotsp(i)=i!cλi​,i=0,1,2,…, where λ\lambdaλ is som positive value. Find ia) P{X=0}P\{X=0\}P{X=0} and (b) P{X>2}P\{X>2\}P{X>2}.

Problem 327

Problem 328

Problem 329

Problem 330

\text{Refer to Exercise 39. Define event } A : \text{ sum is 5. Find } P(A). \text{ (The scenario involves rolling 2 four-sided dice.)}

Problem 331

Q2. An electrical system consists of four components as shown below. The system works if A and D and either B or C works. The probability of each component working is shown in the figure below.Find the probability that the system works.

Problem 332

Problem 333

Problem 334

Problem 335

Problem 336

Problem 337

Problem 338

Problem 339

The lifespan of some macaws in captivity is normally distributed. Their lifespan has a mean of 50 years and a standard deviation of 8 years.What is the probability of a macaw with a lifespan greater than 60 years?

Problem 340

Suppose a box contains 2 blue, 2 red, 3 purple, and 3 green pencils.Find P(P(P( not red|not green).

Problem 341

Problem 342

Problem 343

6). Dari setumpuk kartu bridge yang terdiri atas 52 kartu diambil sebuah kartu secara acak. Tentukan peluang munculnya kartu wajik dengan syarar kartu lack, Queen, dan king terpilih

Problem 344

Problem 345

Problem 346

Problem 347

Problem 348

KK. 1 Theoretical probability 2MSYou pick a card at random. 5 7 8What is P (even or prime)? Simplify your answer and write it as a fraction or whole number. □\square□ Submit

Problem 349

KK. 1 Theoretical probability 2MSYou pick a card at random. 6 7 8What is P (greater than 8 or prime)? Simplify your answer and write it as a fraction or whole number. □\square□ Submit

Problem 350

Problem 351

11 Majid has a spinner.Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, "The probability that the arrow will land on 2 is 13\frac{1}{3}31​ because the spinner has three sections." Is Majid correct? You must give a reason for your answer.

Problem 352

Problem 353

Problem 354

Problem 355

QUESTION 10For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. 95.49%95.49 \%95.49% B. 99.74\% C. 97.59%97.59 \%97.59% D. 102.15%102.15 \%102.15%

Problem 356

Find the zzz-score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

Problem 357

Problem 358

Problem 359

A coin is tossed and a die is rolled. Find the probability of getting a head and a number greater than 2.

Problem 360

Problem 361

A single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5 .
The probability is $\square$ (Type an integer or a fraction. Simplify your answer.)

One card is randomly selected from a deck of cards. Find the odds against drawing a black ten.
The odds against drawing a black ten are $\square$ $\square$ (Simplify your answers.)

20. [-/2 Points]
DETAILS JMODD8 3.3.054.
Find the probability that the sum is as stated when a pair of dice is rolled. (Enter your answers as fractions.) (a) odd and doubles $\square$ (b) odd or doubles $\square$

People walking on the street were asked if they sang in the shower. The number of people who said yes was 111 and no was 200. Find the probability that if a person is chosen at random, they sing in the shower. Round your answer to two decimal places. $\square$
Submit Question

< 13 14 15 $=16$ $\equiv 17$ 18 $=19$
Let $A$ and $B$ be events with $P(A)=0.8, P(B)=0.6$ , and $P(B \mid A)=0.5$ . Find $P(A$ and $B)$ . $P(A \text { and } B)=$ $\square$

If two dice are rolled, what is the probability of not rolling at least one prime number? The answer must be represented as a reduced fraction. $\square$ Basic

The probability mass function of a random variable $X$ is given by $p(i)=\frac{c \lambda^{i}}{i!}, \mathrm{i}=0,1,2, \ldots$ , where $\lambda$ is som positive value. Find ia) $P\{X=0\}$ and (b) $P\{X>2\}$ .

Q2. An electrical system consists of four components as shown below. The system works if A and D and either B or C works. The probability of each component working is shown in the figure below.
Find the probability that the system works.

The lifespan of some macaws in captivity is normally distributed. Their lifespan has a mean of 50 years and a standard deviation of 8 years.
What is the probability of a macaw with a lifespan greater than 60 years?

Suppose a box contains 2 blue, 2 red, 3 purple, and 3 green pencils.
Find $P($ not red|not green).

KK. 1 Theoretical probability 2MS
You pick a card at random. 5 7 8
What is P (even or prime)? Simplify your answer and write it as a fraction or whole number. $\square$ Submit

KK. 1 Theoretical probability 2MS
You pick a card at random. 6 7 8
What is P (greater than 8 or prime)? Simplify your answer and write it as a fraction or whole number. $\square$ Submit

11 Majid has a spinner.
Majid is going to spin the arrow. The arrow can land on 1 or on 2 or on 3 Majid says, "The probability that the arrow will land on 2 is $\frac{1}{3}$ because the spinner has three sections." Is Majid correct? You must give a reason for your answer.

QUESTION 10
For a standard normal distribution, find the percentage of data that are between 2 standard deviations below the mean and 3 standard deviations above the mean. (Please enjoy my hand-drawn visual hint!) A. $95.49 \%$ B. 99.74\% C. $97.59 \%$ D. $102.15 \%$

Find the $z$ -score that corresponds to the shaded area: A. -0.22 B. -0.41 C. -0.29 D. -0.33 t

A study showed that $\mathbf{8 \%}$ of American teenagers have tattoos. $\mathbf{2 8}$ teenagers are randomly selected. What is the probability that exactly $\mathbf{2}$ will have a tattoo? (Round the answer up to 4 decimal places) $\square$ Done

A pair of dice is rolled. What is the probability of getting a sum of $11 ?$
What is the probability of getting a sum of $11 ?$ $\square$ (Simplify your answer. Type a fraction.)