Probability

Problem 601

The incomes in a certain large population of college teachers have a Normal distribution, with mean \ $75,000 and standard deviation$ \ $10,000$ . Sixteen teachers are selected at random from this population to serve on a committee. What is the probability that their average salary is more than $\$ 77,500$ ? 0.8413 essentially 0 0.0228 0.1587

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Problem 602

Find the probability, $P(M \cap R)$ , associated with the tree diagram.
What is $\mathrm{P}(\mathrm{M} \cap \mathrm{R})$ ? $\square$ (Round to the nearest hundredth.)

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Problem 603

```latex There are 70 items in a postbox, 36 of which are being sent first class. 28 of the items are neither parcels nor being sent first class.
10 of the items are parcels. An item is chosen at random from the postbox. By first copying and completing the frequency tree below, calculate $P$ (first class and parcel). Give your answer as a fraction in its simplest form. ```

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Problem 604

Use the tree diagram below to work out the probability that at least one of the two customers buys a vanilla ice cream. Give your answer as a fraction in its simplest form.

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Problem 605

The probability that Zeiden scores when taking a penalty is $\frac{1}{4}$ . a) Copy and complete the tree diagram below to show all the possible outcomes of Zeiden taking two penalties. b) What is the probability that he does not score the first penalty but scores the second penalty? Give your answer as a fraction in its simplest form.

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Problem 606

A group of students sat a biology test and a chemistry test. The frequency tree below shows some information about whether the students passed or failed each test.
A student is chosen at random from the group. What is the probability that they failed at least one test? Give your answer as a fraction in its simplest form.

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Problem 607

Use the theoretical probability formula to solve the problem. Express the probability as a fraction reduced to lowest terms.
Use the spinner below to answer the question. Assume that it is equally probable that the pointer will land on any one of the five numbered spaces. If the pointer lands on a borderline, spin again. Find the probability that the arrow will land on 2 or 3. A) 2 B) 1 C) $\frac{2}{5}$ D) $\frac{3}{2}$

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Problem 608

Find the standard deviation of human pregnancy lengths given a mean of 267 days and a range of 245 to 289 days. What percent last at least 285 days?

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Problem 609

Normal distribution: Given expected return $\bar{r} = 18.9\%$ and $C V = 0.75$ , find: a. $\sigma_{r}$ , b. ranges for $68\%, 95\%, 99\%$ , c. draw the distribution.

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Problem 610

A data analyst has spreadsheets 1,2, databases 1,2,3, and presentations 1,2,3,4. What's the probability of picking an odd-numbered database?

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Problem 611

A business has ads: TV (1-6), newspaper (1-5), social media (1-2). What's the probability a random ad is an odd social media ad?

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Problem 612

Identify the probability method the farmer used to find a $32\%$ chance of milking between 12 and 14 gallons.

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Problem 613

Find the probability of selecting a person aged 18 or older from a survey where 155 out of 200 meet this criteria. Express as a fraction.

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Problem 614

Gail is on time 69% of the time for 38 classes. Estimate how many times she'll be on time, rounding to the nearest integer.

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Problem 615

What is the probability that a randomly chosen student is not employed given they are job searching, based on the data? Express as a fraction.

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Problem 616

Find the probability that a seasoned employee has a credit card, given the table: $P(\text{Credit Card | Seasoned}) = \frac{27}{92}$ . Round to two decimal places.

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Problem 617

Find the probability that a voter is a woman given that they support the president: $P(W | S)$ .

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Problem 618

What is the probability that a therapist does not use the gym membership given they bring lunch? Answer as a simplified fraction.

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Problem 619

Find the numbers for a Venn diagram where $P(B|A) = \frac{8}{24}$ , given 36 flu cases and 24 flu shots.

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Problem 620

What is the probability that a participant did not stop smoking given they received an e-cigarette? Use the data: 21 did not stop out of 32.

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Problem 621

Find the probability that a female cyclist prefers a lake path, given the table data. Round your answer to two decimal places.

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Problem 622

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

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Problem 623

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

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Problem 624

What is the probability of drawing two blues in a row from a jar with 4 reds, 2 greens, and 6 blues?

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Problem 625

1. Find the proportion of accidents with more than one vehicle.
2. Find the proportion of accidents with alcohol or one vehicle.
3. Given alcohol, find the proportion with one vehicle.
4. Given multiple vehicles, find the proportion with alcohol.
5. Find the proportion of accidents with alcohol and one vehicle.
6. Given three vehicles, find the proportion with alcohol.

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Problem 626

Analyze 400 Saturday night accidents. Find proportions related to vehicles and alcohol involvement.

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Problem 627

Find the numbers for athletes and musicians in a Venn diagram if $P(A|B) = \frac{7}{15}$ , with 25 athletes and 15 musicians admitted.

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Problem 628

\begin{tabular}{|c|c|c|c|c|c|} \hline $x$ & 9 & 10 & 11 & 12 & 13 \\ \hline $P(x)$ & 0.1 & 0.1 & 0.2 & 0.1 & 0.5 \\ \hline \end{tabular}
Given the discrete probability distribution above, determine the following: (a) $P(x \geq 1 \geq$ or $x<10)=$ $\qquad$ (b) $P(x=9)=$ $\qquad$ (c) $P(9 \leq x<11)=$ $\qquad$

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Problem 629

be a boy? Round to three decimal places as needed A. 0.571 B. 0.314 C. 0.429 D. 0.71

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Problem 630

Homework: Topic F. 5 Homework Question 2, 12.5.27 HW Score: $85.71 \%$ . 12 of 14 points Points: 0 of 1 Save
Question list Question 1 Question 2
Use the standard normal table to find the specified area To the right of $z=1.08$ Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table.
The area to the right of $z=1.08$ is $\square$ $\square$ .
Area under a normal curve to the left of $z$ (page 1 \begin{tabular}{|cccccccccc|c||} \hline \multicolumn{8}{|c|}{ Table of Areas to the Left of $\boldsymbol{z}$ When $\boldsymbol{z}$ Is Negative } \\ \hline $\boldsymbol{z}$ & .00 & .01 & .02 & .03 & .04 & .05 & .06 & .07 & $\mathbf{. 0 8}$ & .09 \\ \hline-3.4 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0003 & .0002 \\ -3.3 & .0005 & .0005 & .0005 & .0004 & .0004 & .0004 & .0004 & .0004 & .0004 & .0003 \\ -3.2 & .0007 & .0007 & .0006 & .0006 & .0006 & .0006 & .0006 & .0005 & .0005 & .0005 \\ -3.1 & .0010 & .0009 & .0009 & .0009 & .0008 & .0008 & .0008 & .0008 & .0007 & .0007 \\ -3.0 & .0013 & .0013 & .0013 & .0012 & .0012 & .0011 & .0011 & .0011 & .0010 & .0010 \\ -2.9 & .0019 & .0018 & .0018 & .0017 & .0016 & .0016 & .0015 & .0015 & .0014 & .0014 \\ -2.8 & .0026 & .0025 & .0024 & .0023 & .0023 & .0022 & .0021 & .0021 & .0020 & .0019 \\ -2.7 & .0035 & .0034 & .0033 & .0032 & .0031 & .0030 & .0029 & .0028 & .0027 & .0026 \\ -2.6 & .0047 & .0045 & .0044 & .0043 & .0041 & .0040 & .0039 & .0038 & .0037 & .0036 \\ -2.5 & .0062 & .0060 & .0059 & .0057 & .0055 & .0054 & .0052 & .0051 & .0049 & .0048 \\ -2.4 & .0082 & .0080 & .0078 & .0075 & .0073 & .0071 & .0069 & .0068 & .0066 & .0064 \\ \hline \end{tabular}
Area under a normal curve to the left of $z$ ( $p$ e
Table of Areas to the Left of $z$ When $z$ Is Positive \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|} \hline $z$ & . 00 & 01 & .02 & .03 & .04 & . 05 & . 16 & . 07 & . 08 \\ \hline 0.0 & 5000 & 5040 & 5080 & 5120 & 5160 & . 5199 & . 5239 & 5279 & 5319 \\ \hline 0.1 & . 5398 & . 5438 & 5478 & 5517 & . 5557 & 5596 & . 5636 & . 5675 & . 5714 \\ \hline 0.2 & .5793 & . 5832 & 5871 & 5910 & . 5948 & . 5987 & . 6026 & . 6064 & . 6103 \\ \hline 0.3 & 6179 & 6217 & . 6255 & 6293 & 6331 & . 6368 & . 6406 & . 6443 & . 6480 \\ \hline 0.4 & 6554 & . 6591 & . 6628 & 6664 & . 6700 & .6736 & . 6772 & .6808 & . 6844 \\ \hline 0.5 & 6915 & 6950 & 6985 & 7019 & . 7054 & . 7088 & 7123 & 7157 & .7190 \\ \hline 0.6 & . 7257 & . 7291 & 7324 & 7357 & 7389 & . 7422 & . 7454 & 7486 & . 7517 \\ \hline 0.7 & . 7580 & . 7611 & 7642 & 7673 & 7704 & 7734 & . 7764 & 7794 & 7823 \\ \hline 0.8 & 7881 & .7910 & 7939 & 7967 & 7995 & .8023 & 8051 & . 8078 & .8106 \\ \hline 0.9 & 8159 & .8186 & 8212 & 8238 & 8264 & 8289 & . 8315 & .8340 & 8365 \\ \hline 1.0 & . 8413 & .8438 & 8461 & 8485 & 8508 & 8531 & 8554 & . 8577 & .8599 \\ \hline 11 & skad & sans & 8686 & 8708 & 8729 & 8719 & 8770 & 8790 & 8810 \\ \hline \end{tabular}

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Problem 631

Find the probability that in tossing a fair coin 3 times, there will appear a head at least twice. (Note: write the probability as an integer or as a percentile without the $\%$ sign)

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Problem 632

SAT scores: Assume that in a given year the mean mathematics SAT score was 605 , and the standard deviation was 136. A sample of 76 scores is chosen. Use Excel.
Part: $0 / 5$
Part 1 of 5 (a) What is the probability that the sample mean score is less than 589 ? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 589 is $\square$

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Problem 633

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et $0.4 \%$ des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

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Problem 634

A medical researcher administers an experimental medical treatment to 200 patients. The patients in the study are categorized by blood types $A, B, A B$ , and $O$ . The researcher observed that the treatment had a favorable outcome for 35 of the 50 patients with blood type $A, 17$ of the 68 patients with blood type $B, 12$ of the 12 patients with blood type $A B$ , and none of the 70 patients with blood type $O$ . Use this information to complete parts (a) through (d). a) Determine the empirical probability of a favorable outcome for those patients with blood type A . $\mathrm{P}($ favorable A $)=0.7$ (Type an integer or decimal rounded to the nearest hundredth as needed.) b) Determine the empirical probability of a favorable outcome for those patients with blood type B. $P($ favorable $B)=$ $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 635

The lengths of pregnancies in a small rural village is a normally distributed random variable X with a mean of 266 days and a standard deviation of 15 days.
What percentage of pregnancies last beyond 244 days? Enter answer as a decimal, round to 2 decimal places $P(X>244 \text { days })=$ $\square$ Question Help: Video

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Problem 636

Julia sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Julia's smart phone and sees her fingerprints on the screen over eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 637

In a certain state, $35.7 \%$ of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 12 of the community college students. a. Exactly 3 belong to an ethnic minority. b. Three or fewer belong to an ethnic minonity. c. Exactly 7 do not belong to an ethnic minority. d. Eight or more do not belong to an ethnic minority.

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Problem 638

2.22 Forscher gehen daBC von aus, dass zwei Drittel aller Personen unter 50 Jahren das Herpes-Simplex-Virus HSV-1 in sich tragen. Dieses Virus verursacht vor allem Lippenbläschen. Mit dem Ausdruck $\binom{25}{15} \cdot\left(\frac{2}{3}\right)^{15} \cdot\left(\frac{1}{3}\right)^{10}$ wird die Wahrscheinlichkeit eines bestimmten Ereignisses berechnet. a) Beschreiben Sie, um welches Ereignis es sich handelt. b) Berechnen Sie diese Wahrscheinlichkeit. c) Beschreiben Sie, was der Binomialkoeffizient $\binom{25}{15}$ in Bezug auf ein zum Sachzusammenhang passendes Baumdiagramm angibt.
Aus allen unter 50-Jährigen werden zufällig 36 Personen ausgewählt. d) Berechnen Sie den Erwartungswert $\mu$ und die Standardabweichung $\sigma$ für die Anzahl der Personen in dieser Gruppe, die HSV-1 in sich tragen. e) Berechnen Sie die Wahrscheinlichkeit, dass von diesen 36 Personen genau $\mu$ Personen HSV-1 in sich tragen.

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Problem 639

Heart Rates For a certain group of individuals, the average heart rate is 71 beats per minute. Assume the variable is normally distributed and the standard deviation is 3 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use
The Standard Normal Distribution Table. Round the final answers to at least four decimal places and intermediate $z$ -value calculations to two decimal places.
Part: $0 / 3$
Part 1 of 3 (a) Between 67 and 73 beats per minute $P(67<X<73)=$ $\square$

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Problem 640

stion list uestion 5 uestion 6
Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

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Problem 641

According to the New York State Board of Law Examiners, approximately $63 \%$ of people taking the New York Bar Exam passed the exam.
1. If 20 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $76 \%$ have passed? Round your answer to 4 decimal places. $\square$
2. If 44 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $76 \%$ have passed? Round your answer to 4 decimal places. $\square$
3. Why did the probability decrease? The probability decreased since the sample size decreased resulting in a wider distribution which increased the area of the right tail. The probability decreased since the sample size increased resulting in a narrower distribution which reduced the area of the right tail.

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Problem 642

want you to use a calculator program to find a p-value when you already have the Test Statistic. If you have not already accessed it, you need to open the Technology Guide to find P-values (with Examples) Handout found in Content for detailed steps and examples. There is also a video that works through examples of these. You will use the Normalcdf program for this example because the test statistic you will be given is a $z$ test statistic. You get to the program using 2ND VARS. Follow the directions for a left tailed test for this problem provided on the handout. The bounds you need to enter in your calculator for a left tailed test are specified on the handout. Do not guess. Read and follow the directions. Use Technology to find the p -value for the claim H1: $\mathrm{p}<0.75$ , if the test statistic is known to be $z=-1.74$ . Will the test statistic, $z=-1.74$ , be the upper or lower bound for a left tail test? A. Upper bound, since we want the area to the left of this value for a left tail. B. Lower bound, since we want the area to the right of this value for a left tail.
What is the $p$ -value? $\square$ Round your answer to 4 decimal places.
Ask my instructor Clear all Check answer 6:11 PM 11/24/2024

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Problem 643

Thirty-nine percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number who have very little confidence in newspapers is (a) exactly six and (b) exactly two. (a) The probability that the number who have very little confidence in newspapers is exactly six is $\square$ (Round to three decimal places as needed.)

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Problem 644

$49 \%$ of U.S. adults have very little confidence in newspapers. You randomly select $10 \mathrm{U} . \mathrm{S}$ . adults. Find the probability that the number of $\mathrm{U} . \mathrm{S}$ . adults who have very little confiden in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) $P(5)=0.246$ (Round to three decimal places as needed.) (b) $P(x \geq 6)^{-}=$ $\square$ (Round to three decimal places as needed.)

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Problem 645

Johnathan picked beads 50 times. He got red 12, yellow 14, blue 24. How many blue beads in 150 picks? (A) 36 (B) 42 (C) 72 (D) 78

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Problem 646

In football, if 425 players are drafted, how many will have IQs within one standard deviation of the mean (100, $\sigma = 15$ )?

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Problem 647

A pack has 5 red, 6 yellow, 8 purple, and 11 blue balloons. What is the probability of picking a yellow balloon?

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Problem 648

In an exam, $58\%$ passed Hindi, $48\%$ passed English, and $17\%$ failed both. What percent passed both? Options: (a) $23\%$ (b) $17\%$ (c) $33\%$ (d) $18\%$ (e) None.

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Problem 649

A sample of size 60 will be drawn from a population with mean 31 and standard deviation 6 . Use the TI-83 Plus/TI-84 Plus calculator.
Part: $0 / 2$ $\square$
Part 1 of 2 (a) Find the probability that $\bar{x}$ will be between 30 and 33. Round the answer to at least four decimal places.
The probability that $\bar{x}$ will be between 30 and 33 is 0.8968 . $\square$ $\square$
Part: $1 / 2$ $\square$
Part 2 of 2 (b) Find the $75^{\text {th }}$ percentile of $\bar{x}$ . Round the answer to at least two decimal places.
The $75^{\text {th }}$ percentile is $\square$ . $\square$

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Problem 650

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is $\square$ (Round to four decimal places as needed.)

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Problem 651

4. A recent survey asked 100 people if they thought women in the armed forces should be permitted to participate in combat. The results of the survey are shown below. \begin{tabular}{|l|c|l|l|} \hline Gender & Yes & No & Total \\ \hline Male & 32 & 18 & 50 \\ \hline Female & 8 & 42 & 50 \\ \hline Total & 40 & 60 & 100 \\ \hline \end{tabular}
Find the probability that: a) The respondent answered yes, given that the respondent was a female. b) The respondent was a male, given the respondent answered no. c) The respondent was female, given that the respondent answered yes. d) The respondent answered no, given that they were female.
5. If $25 \%$ of U.S. federal prisons inmates are not U.S. citizens, find the probability that 2 randomly selected inmates will not be U.S. citizens.

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Problem 652

Chapter 5 Section 5-1 and Multiplication Rule
1. 3 coins are tossed and a 6 -sided die is rolled. What is the probability of getting three tails and a multiple of 3 on the die?
2. What is the probability that a randomly selected number between 1 and 26 is divisible by 2 or 3 ?
3. In a bag of 100 stockings, 12 pairs have defects. Three dancers run into the dressing room and each grab a pair of stockings (without replacement). a) Find the probability that all three dancers get a pair of defective stockings. b) Find the probability that all three dancers get a pair on non-defective stockings. c) Find the probability that two dancers get non-defective stockings and the third dancer gets a defective pair.

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Problem 653

this distribution that corresponds to the given z -score. $z=-7$
The data item that corresponds to $\mathrm{z}=-7$ is $\square$ . (Type an integer or a decimal.)

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Problem 654

Hour HW(2024) Question 3, 11.1.15 HW Score: $15.38 \%, 2$ of 13 points Part 2 of 5 Points: 0 of 1 Save
Butch has a collection of 80 vinyl records from throughout the 20th century including seven from the 40 s, four from the 50 s, eleven from the 60 s, eight from the 70 s, and 16 from the 80 s . If he randomly selects one from his collection of 80 , find the probability it will be from each of the following decades.
The probability that it is from the 40 s is $\frac{7}{80}$ . (Type an integer or a simplified fraction.) The probability that it is from the 50 s is $\square$ . (Type an integer or a simplified fraction.)

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Problem 655

A manufacturer obtains clock-radios from three different subcontractors: $10 \%$ from $\mathrm{A}, 30 \%$ from B , and $60 \%$ from C . The defective rates for these subcontractors are $1 \%, 3 \%$ , and $2 \%$ respectively. If a defective clock-radio is returned by a customer, what is the probability that it came from subcontractor A? From B? From C?
The probability that it came from subcontractor $A$ is $\square$ (Type a decimal. Round to three decimal places if needed.)

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Problem 656

Which of the following statements is an example of experimental probability?
Answer Keypad Keyboard Shortcuts Lucia wants to know the percentage of students who are from her home state, so each day of her first week of classes she asks 40 students where they are from. Aaron is fishing in a pond that was just stocked with 125 fish, 45 of them being bass. He wants to know how likely it is that the first fish he catches is a bass. Dominique is wondering how likely it is that the first card drawn from a standard deck of 52 cards will be red. Cody wants to know how likely it is that he will win the game if he needs to roll five dice of the same number to win.

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Problem 657

By examining the past driving records of drivers in a certain city, an insurance company has determined the (empirical) probabilities in the table to the right. Use the (empirical) probabilities to complete parts $(A)$ and $(B)$ below. \begin{tabular}{|c|c|c|c|} \hline \multirow[t]{2}{*}{} & \multicolumn{3}{|l|}{Miles Driven per Year} \\ \hline & $\begin{array}{c} \hline \text { Less } \\ \text { Than } \\ 10,009 \\ \mathrm{M}_{1} \end{array}$ & \begin{tabular}{l} $\begin{array}{c} 10,000- \\ 15,000 \end{array}$ \\ Inclusive, $M_{2}$ \end{tabular} & $\begin{array}{c} \text { More } \\ \text { Than } \\ 15,000 \text {, } \\ \mathrm{M}_{3} \end{array}$ \\ \hline Accident A & 0.10 & 0.20 & 0.20 \\ \hline No Accident $\mathrm{A}^{\prime}$ & 0.05 & 0.20 & 0.25 \\ \hline Totals & 0.15 & 0.40 & 0.45 \\ \hline \end{tabular} (A) Find the probability that a city driver selected at random drives more than 15,000 miles per year or has an accident.
The probability is 0.75 . (Type an integer or a decimal.) (B) Find the probability that a city driver selected at random drives 15,000 or fewer miles per year and has an accident.
The probability is $\square$ (Type an integer or a decimal.)

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Problem 658

Calculate the relative frequency $P(E)$ using the given information. $P(E)=\square$

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Problem 659

An experiment consists of rolling two fair (not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on tw opposite faces, and the number 3 on two opposite faces. Compute the probability of obtaining the indicated sum.
Sum of 2
The probability of getting a sum of 2 is $\square$ (Type an integer or a simplified fraction.)

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Problem 660

A vending machine is designed to dispense a mean of 7.4 oz of coffee into an 8 -oz cup. If the standard deviation of the amount of coffee dispensed is 0.3 oz and the amount is normally distributed, find the percent of times the machine will dispense less than 7.64 oz .
Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
The percentage of times the machine will dispense less than 7.64 oz is $\square$ $\square \%$ (Type an integer or a decimal rounded to two decimal places as needed.)

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Problem 661

Assume that the weights of ripe watermelons grown at a particular farm are normally distributed with a mean of 90 pounds and a standard deviation of 2.5 pounds. Determine the percent of watermelons that weigh between 88.34 pounds and 94.61 pounds. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. $\square$ \% (Round to two decimal places as needed.)

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Problem 662

Neil has 181 songs on a playlist. He's categorized them in the following manner: 31 gospel, 20 blues, 36 classical, 24 rap, 16 rock, 9 pop, and 45 jazz. If Neil begins listening to his playlist on shuffle, what is the probability that the first song played is a classical song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 663

A standard die is rolled. Find the probability that the number rolled is less than 5. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer

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Problem 664

A weight-loss clinic guarantees that its new customers will lose at least 5 lb by the end of their first month of participation or their money will be refunded. If the loss of weight of customers at the end of their first month is normally distributed, with a mean of 6.2 lb and a standard deviation of 0.81 lb , find the percent of customers who will be able to claim a refund. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. $\square$ \% of customers will be able to claim a refund. (Round to the nearest tenth as needed.)

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Problem 665

https://www-awy.aleks.com/alekscgi/X/Isl.exe/1o_u-lgNslkasNW8D8A9PVVfaYzvAnKbEZqvmttllkfkbx0fBm18LItV2MuqLjsTaljMWZa5_8UrnEXm8h4nR48leR0Eiar... Homework 6.4 Question 3 of 6 (1 point) I Question Attempt: 1 of Unlimited Salma $\checkmark 1$ $\checkmark 2$ $=3$ 4 5 6
Single Americans In a recent year, about $22 \%$ of Americans 16 years and older are single. What is the probability that in a random sample of 225 Americans 16 or older, more than 36 are single? Round the final answer to at least 4 decimal places and intermediate $z$ -value calculations to 2 decimal places. $P(x>36)=$ $\square$

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Problem 666

b) Beim Buchen eines Fluges kann man zwischen der Economy Class (E) und der Business Class (B) wählen. In jeder der beiden Klassen muss man entweder einen Fensterplatz (F), einen Platz am Gang (G) oder einen Platz in der Mitte (M) wählen. Erfahrungsgemäß wählen 90 \% der Fluggäste die Economy Class, die übrigen 10 \% wählen die Business Class. Von den Fluggästen der Business Class wünschen sich $82 \%$ einen Fensterplatz und $8 \%$ einen Platz in der Mitte. Von den Fluggästen der Economy Class wünschen sich $70 \%$ einen Fensterplatz und 25 \% einen Platz am Gang. 1) Vervollständige das nachstehende Baumdiagramm mit den fehlenden Wahrscheinlichkeiten so, dass es den beschriebenen Sachverhalt wiedergibt. [1 Punkt] 2) Berechne die Wahrscheinlichkeit, dass sich ein zufällig ausgewählter Fluggast einen Fensterplatz wünscht. [1 Punk

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Problem 667

Aufgabe 3 Batterien Ein Unternehmen produziert Batterien. a) Für den Versand der Batterien an Einzelhändler werden diese jeweils in 8er-Packungen verpackt.
Ein Einzelhändler erhält eine Lieferung von a 8er-Packungen. Die Wahrscheinlichkeit, dass eine zufällig ausgewählte Batterie defekt ist, beträgt $p$ . 1) Beschreiben Sie, was mit dem folgenden Ausdruck in diesem Sachzusammenhang berechnet wird. [1 Punkt] $8 \cdot a \cdot p=$

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Problem 668

Q1: Risk and Reward (7 Marks) A- Ahmed wants to invest in one of these stocks A, B and C, which stock will he choose knowing that Ahmed is a risk-averse investor? \begin{tabular}{|l|l|l|l|} \hline Probability & \multicolumn{1}{|c|}{\begin{tabular}{c} Rate of return \\ A \end{tabular}} & \begin{tabular}{c} Rate of return \\ B \end{tabular} & \begin{tabular}{c} Rate of return \\ C \end{tabular} \\ \hline 0.15 & 0.02 & 0.20 & 0.20 \\ \hline 0.5 & 0.17 & 0.09 & 0.10 \\ \hline 0.35 & 0.08 & 0.02 & 0.08 \\ \hline \end{tabular}
B-Instead of investing in just one stock, Ahmed decided to invest \$10,000 in a portfolio, and was confused between two portfolios X and Y .
Portfolio $X$ consists of shares $A$ and $B$ , (where the investment in stock $A$ is $\$ 2,500$ ) Portfolio Y consists of shares A and C, (where the investment in stock A is $\$ 4,000$ ) Knowing that: The correlation coefficient between A and $\mathrm{B}=0.95$ The correlation coefficient between A and $\mathrm{C}=-1.0$ The correlation coefficient between B and $\mathrm{C}=-0.5$ Which Portfolio should he choose? Explain why?

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Problem 669

1. What is the difference between independent and dependent events?
2. List examples of the following types of events. (a) Two events that are independent (b) Two events that are dependent
True or False? In Exercises 3 and 4 , determine whether the statement is true 0 false. If it is false, rewrite it as a true statement.
3. If two events are not independent, $P(A \mid B)=P(B)$ .
4. If events $A$ and $B$ are dependent, then $P(A$ and $\left.B)=P(A) \cdot P^{\prime} B\right)$ .
Classifying Events In Exercises 5-8, decide whether the events are independent or dependent. Explain your reasoning.
5. Selecting a king from a standard deck, replacing it, and then selecting a queen from the deck
6. Rerurning a rented movie after the due date and receiving a late fee
7. Rolling a six-sided die and then rolling the die a second time so that the sum of the two rolls is seven
8. A numbered ball between 1 and 52 is selected from a bin, replaced, and then a second numbered ball is selected from the bin. Classifying Events Based on Studies In Exerciser 9-12, identify the two evenis described in the study. Do the results indicate that the events are independent or dependent? Explain your reasoning.
9. Researchers found that people with depression are five times more likely to have a breathing-related sleep disorder than people who are not depressed.
10. Stress causes the body to produce higher amounts of acid, which can irritate already existing ulcers. But, stress does not cause stomach ulcers. (Source: Aaplor College of Wredicine)
11. Studies found that Aspartame, an artificial sweetener, does not cause memory loss. (Source forad and Drug Adominismation)
12. Acoording to researchers, diabetes is rare in societies in which obesity is rare. In societies in which obesity has been common for at least 20 years, diabetes is also common. (Sowree Ameriom Diaberes Astocianion)

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Problem 670

erw Return 4 Numeric 1 point Subr n a survey, 510 adults were asked if they drive a pickup truck and if they drive a Ford. The results showed that one in six adults surveyed drives a pickup truck, and three in ten adults surveyed drives a Ford. Of the adults surveyed that drive Fords, two in nine drive a pickup truck. 5
Find the probability that a randomly selected adult drives a pickup truck give that he or she drives a Ford.
Type your answer... Numeric 1 point
Find the probability that a randomly selected adult drives a Ford and drives a pickup truck.
Type your answer... 6 Numeric 1 point
How many of the adults surveyed drive a Ford truck? Type your answer... 7 Essay 2 points
Are the events driving a Ford and driving a pickup truck independent or dependent? Explain.

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Problem 671

It costs $\$ 10$ to play a dice game. For this game, two dice are rolled. If a sum greater than 10 is rolled, the player receives $\$ 45$ . If a sum less than six is rolled, the player receives $\$ 30$ . If a player rolls two odd numbers, then they receive $\$ 7$ . A player can only receive one prize. Therefore, if a roll meets the description of more than one prize, the player only receives the higher prize value (not both). The expected value (to the nearest cent) of the game is $\$$ $\square$ In the long run, does the game favor the player? $\square$

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Problem 672

It costs $\$ 10$ to play a dice game. For this game, two dice are rolled. If a sum greater than 10 is rolled, the player receives $\$ 50$ . If a sum less than six is rolled, the player receives $\$ 20$ . If a player rolls two odd numbers, then they receive $\$ 8$ . A player can only receive one prize. Therefore, if a roll meets the description of fnore than one prize, the player only receives the higher prize value (not both). The expected value (to the nearest cent) of the game is $\$$ $\square$ In the long run, does the game favor the player? yes $\checkmark \checkmark ~ ০^{\infty}$

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Problem 673

A multiple-choice exam contains questions that each have 4 answer choices. One point is awarded for each correct answer, and 0.25 points are deducted for each incorrect answer. If an answer is left blank, then points are not awarded or deducted. Round the expected value to the nearest hundreth. a. What is the expected value if a student guesses on a question? $\square$ b. Is it advantageous to guess if an answer is unknown? ? V c. What is the expected value if 0.5 points are deducted for each incorrect answer? $\square$

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Problem 674

It costs $\$ 10$ to play a dice game. For this game, two dice are rolled. If a sum greater than 10 is rolled, the player receives $\$ 30$ . If a sum less than six is rolled, the player receives $\$ 25$ . If a player rolls two odd numbers, then they receive $\$ 5$ . A player can only receive one prize. Therefore, if a roll meets the description of more than one prize, the player only receives the higher prize value (not both). The expected value (to the nearest cent) of the game is $\$$ $\square$
In the long run, does the game favor the player? $\square$ yes $\square$ $\checkmark$ ) Submit Question

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Problem 675

The table gives a set of outcomes and their probabilities. Let $A$ be the event "the outcome is divisible by $2 "$ . Let $B$ be the event "the outcome is prime". Find $P(A \mid B)$ . \begin{tabular}{|c|c|} \hline Outcome & Probability \\ \hline 1 & 0.3 \\ \hline 2 & 0.4 \\ \hline 3 & 0.1 \\ \hline 4 & 0.2 \\ \hline \end{tabular} $\square$

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Problem 676

For a class assignment, Tyler wanted to study whether or not the color of a person's car correlates with the color of his or her hair. He spent an hour at a stoplight recording the color of each car that passed and the hair color of its driver. The probability that a driver has a purple car is 0.02 , the probability that a driver has black hair is 0.57 , and the probability that a driver has a purple car and has black hair is 0.01 . What is the probability that a randomly chosen driver has a purple car or has black hair? Write your answer as a whole number, decimal, or simplified fraction. $\square$

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Problem 677

The table gives a set of outcomes and their probabilities. Let $A$ be the event "the outcome is divisible by $3^{\prime \prime}$ . Find $P(A)$ . \begin{tabular}{|c|c|} \hline Outcome & Probability \\ \hline 1 & 0.11 \\ \hline 2 & 0.14 \\ \hline 3 & 0.03 \\ \hline 4 & 0.16 \\ \hline 5 & 0.05 \\ \hline 6 & 0.09 \\ \hline 7 & 0.19 \\ \hline 8 & 0.23 \\ \hline \end{tabular} $\square$

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Problem 678

You spin the spinner once.
What is $\mathrm{P}(4$ or odd $)$ ? Simplify your answer and write it as a fraction or whole number. $\square$

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Problem 679

Mila's psychology test contains 10 true/false questions and 8 multiple choice questions. If Mila guesses on each question, find the probability that she will answer 5 true/false and 1 multiple-choice questions correctly. Each multiple-choice question has 5 answer choices.
State answer as a decimal rounded to six decimal places.

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Problem 680

JR makes $88 \%$ of all three-point shots and $85 \%$ of all free-throw shots while playing basketball. Suppose she shoots 8 three-point shots and 5 free-throw shows. What is the probability that she makes 5 three-point shots and 3 free-throw shots?

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Problem 681

Jaymes is taking a 19-question science test. a. If Jaymes guesses on each question, and the test contains 19 true-false questions, find the probability that he answers 9 questions correctly. $\square$ State answer as a decimal rounded to six decimal places. b. If Jaymes guesses on each question, and the test contains 19 multiple-choice questions, find the probability that he answers 9 questions correctly when each question has 4 answer options. $\square$ State answer as a decimal rounded to six decimal places.

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Problem 682

Get an education: A survey asked 32,126 people how much confidence they had in educational institutions. The results were as follows. Round your answers to four decimal places if necessary. \begin{tabular}{lr} \hline \multicolumn{1}{c}{ Response } & Number \\ \hline A great deal & 10,022 \\ Some & 17,813 \\ Hardly any & 4291 \\ \hline Total & 32,126 \end{tabular} Send data to Excel
Part 1 of 3 (a) What is the probability that a sampled person has either a great deal or hardly any confidence in educational institutions?
The probability that a sampled person has either a great deal or hardly any confidence in educational institutions is 0.4455 .
Part: 1 / 3
Part 2 of 3 (b) Assume this is a simple random sample from a population. Use the Empirical Method to estimate the probability that a person has hardly any confidence in educational institutions.
Using the Empirical Method the probability is approximately $\square$ .

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Problem 683

A new drug has shown to be effective in $68 \%$ of participants during the trials. In a group of 50 patients; what is the probability that the drug is not effective for at most 5 patients?
State answer as a decimal rounded to six decimal places. $\square$

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Problem 684

A fair die is rolled four times. What is the probability that it comes up 3 at least once? Write your answer as a fraction or a decimal, rounded to four decimal places.
The probability that it comes up 3 at least once is $\square$ . $\square$

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Problem 685

Quality control: A population of 598 semiconductor wafers contains wafers from three lots. The wafers are categorized by lot and by whether they conform to a thickness specification, with the results shown in the following table. A wafer is chosen at random from the population. Write your answer as a fraction or a decimal, rounded to four decimal places. \begin{tabular}{ccc} \hline Lot & Conforming & Nonconforming \\ \hline A & 92 & 11 \\ B & 160 & 32 \\ C & 257 & 46 \\ \hline \end{tabular} Send data to Excel (a) What is the probability that the wafer is from Lot A? (b) What is the probability that the wafer is conforming? (c) What is the probability that the wafer is from Lot $A$ and Is conforming? (d) Given that the wafer is from Lot $A$ , what is the probability that it is conforming? (e) Given that the wafer is conforming, what is the probability that it is from Lot A? (f) Let $E_{1}$ be the event that the wafer comes from Lot $A$ , and let $E_{2}$ be the event that the wafer is conforming. Are $E_{1}$ and $E_{2}$ independent?
Part 1 of 6
The probability that the wafer is from Lot A is 0.1722 .
Part 2 of 6
The probability that the wafer is conforming is 0.8502 .
Part 3 of 6
The probability that the wafer is from Lot $A$ and is conforming is 0.1538 .
Part 4 of 6
The probability that the wafer is conforming given that it is from Lot A is 0.8932 .
Part: $4 / 6$
Part 5 of 6
The probability that the wafer is from Lot $A$ given that it is conforming is $\square$

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Problem 686

Fill in each blank with the appropriate word or phrase.
Part 1 of 2
An outcome or collection of outcomes from a sample space is called (Choose one) .
Part 2 of 2
The collection of all possible outcomes of a probability experiment is called (Choose one)

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Problem 687

PROBLEM \#2. Sickle-cell anemia is an interesting genetic disease. Normal homozygous individials (SS) have normal blood cells that are easily infected with the malarial parasite. Thus, many of these individuals become very ill from the parasite and many die. Individuals homozygous for the sickle-cell trait (ss) have red blood cells that readily collapse when deoxygenated. Although malaria cannot grow in these red blood cells, individuals often die because of the genetic defect. However, individuals with the heterozygous condition (Ss) have some sickling of red blood cells, but generally not enough to cause mortality. In addition, malaria cannot survive well within these "partially defective" red blood cells. Thus, heterozygotes tend to survive better than either of the homozygous conditions. If $9 \%$ of an African population is born with a severe form of sickle-cell anemia (ss), what percentage of the population will be more resistant to malaria because they are heterozygous (Ss) for the sickle-cell gene?

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Problem 688

PROBLEM \#2. Sickle-cell anemia is an interesting genetic disease. Normal homozygous individials (SS) have normal blood cells that are easily infected with the malarial parasite. Thus, many of these individuals become very ill from the parasite and many die. Individuals homozygous for the sickle-cell trait (ss) have red blood cells that readily collapse when deoxygenated. Although malaria cannot grow in these red blood cells, individuals often die because of the genetic defect. However, individuals with the heterozygous condition (Ss) have some sickling of red blood cells, but generally not enough to cause mortality. In addition, malaria cannot survive well within these "partially defective" red blood cells. Thus, heterozygotes tend to survive better than either of the homozygous conditions. If $9 \%$ of an African population is born with a severe form of sickle-cell anemia (ss), what percentage of the population will be more resistant to malaria because they are heterozygous (Ss) for the sickle-cell gene?

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Problem 689

$\begin{array}{l} \text { ، } \quad p(A)=0,3 \text { حادشتان حيث B , A } 11 \\ p(A \cap B)=0,2 \cdot p(A \cup B)=0,7 \\ p(B) \end{array}$

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Problem 690

A free throw shooter has an average of making $68 \%$ of his free throws. If he throws 50 practice free throws. (HINT: use the binomlaldist function in the calculator) What is the probability that he will make between 25 and 40 of the shots? type your answer.
What is the probability that he will make at least 40 shots? type your answer_
What is the probability that he will make 30 of the shots? type your answer-

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Problem 691

A sample of 400 adults were surveyed on their health. 89 of those studied have high blood pressure, yet 112 of those studied reported being unwilling to change their diet. Based on this sample, if an adult is chosen at random, what is the probability that he or she is open to trying to eat more healthfully? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 692

Correct
Carter has 213 songs on a playlist. He's categorized them in the following manner: 11 gospel, 28 pop, 36 rock, 19 classical, 23 country, 43 folk, and 53 jazz. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a pop song? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 693

A dice game involves rolling 2 dice. If you roll a $2,3,4,10,11$ , or 12 you win $\$ 5$ . If you roll a $5,6,7,8$ , or 9 you lose $\$ 5$ . Find the expected value you win (or lose) per game.
What is the expected value of this game? \\square$ type your answer.(include the negative if needed here)
Is this a fair game? $\square$ type your answer...

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Problem 694

Find the probability of randomly selecting each type of stamp from a bag containing nine 1¢, four 5¢, eight 10¢, five 21¢, twelve 34¢, and ten 49¢ stamps.

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Problem 695

Find the probability of randomly selecting each type of fruit from a basket with 8 apples, 4 oranges, 3 bananas, 6 plums, and 11 nectarines.

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Problem 696

Sally reads a 50-page book. Find the probabilities of landing on a specific page, odd/even pages, first, and last pages.

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Problem 697

A car dealership finds a new car model has a transmission issue $15\%$ of the time. What is the probability of this issue?

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Problem 698

At a university, $50\%$ of students play intramural volleyball. What is the probability a randomly chosen student participates?

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Problem 699

There are 150 new employees at a tech company. Each group $A, B, C, D, E$ has 30 employees. Find $P(C)=$ probability of choosing an employee from group $C$ .

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Problem 700

Find $P(A$ AND $B)$ given $P(A)=0.9$ , $P(B)=0.3$ , and $P(A$ OR $B)=0.95$ .

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1 ...4 5 6 7 8 9

Probability

Problem 601

Problem 602

Find the probability, P(M∩R)P(M \cap R)P(M∩R), associated with the tree diagram.What is P(M∩R)\mathrm{P}(\mathrm{M} \cap \mathrm{R})P(M∩R) ? □\square□ (Round to the nearest hundredth.)

Problem 603

Problem 604

Use the tree diagram below to work out the probability that at least one of the two customers buys a vanilla ice cream. Give your answer as a fraction in its simplest form.

Problem 605

Problem 606

Problem 607

Problem 608

Find the standard deviation of human pregnancy lengths given a mean of 267 days and a range of 245 to 289 days. What percent last at least 285 days?

Problem 609

Normal distribution: Given expected return rˉ=18.9%\bar{r} = 18.9\%rˉ=18.9% and CV=0.75C V = 0.75CV=0.75, find: a. σr\sigma_{r}σr​, b. ranges for 68%,95%,99%68\%, 95\%, 99\%68%,95%,99%, c. draw the distribution.

Problem 610

A data analyst has spreadsheets 1,2, databases 1,2,3, and presentations 1,2,3,4. What's the probability of picking an odd-numbered database?

Problem 611

A business has ads: TV (1-6), newspaper (1-5), social media (1-2). What's the probability a random ad is an odd social media ad?

Problem 612

Identify the probability method the farmer used to find a 32%32\%32% chance of milking between 12 and 14 gallons.

Problem 613

Find the probability of selecting a person aged 18 or older from a survey where 155 out of 200 meet this criteria. Express as a fraction.

Problem 614

Gail is on time 69% of the time for 38 classes. Estimate how many times she'll be on time, rounding to the nearest integer.

Problem 615

What is the probability that a randomly chosen student is not employed given they are job searching, based on the data? Express as a fraction.

Problem 616

Find the probability that a seasoned employee has a credit card, given the table: P(Credit Card | Seasoned)=2792P(\text{Credit Card | Seasoned}) = \frac{27}{92}P(Credit Card | Seasoned)=9227​. Round to two decimal places.

Problem 617

Find the probability that a voter is a woman given that they support the president: P(W∣S)P(W | S)P(W∣S).

Problem 618

What is the probability that a therapist does not use the gym membership given they bring lunch? Answer as a simplified fraction.

Problem 619

Find the numbers for a Venn diagram where P(B∣A)=824P(B|A) = \frac{8}{24}P(B∣A)=248​, given 36 flu cases and 24 flu shots.

Problem 620

What is the probability that a participant did not stop smoking given they received an e-cigarette? Use the data: 21 did not stop out of 32.

Problem 621

Find the probability that a female cyclist prefers a lake path, given the table data. Round your answer to two decimal places.

Problem 622

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events AAA, BBB, A∩BA \cap BA∩B, and neither.

Problem 623

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events AAA, BBB, A∩BA \cap BA∩B, and neither.

Problem 624

What is the probability of drawing two blues in a row from a jar with 4 reds, 2 greens, and 6 blues?

Problem 625

Problem 626

Analyze 400 Saturday night accidents. Find proportions related to vehicles and alcohol involvement.

Problem 627

Find the numbers for athletes and musicians in a Venn diagram if P(A∣B)=715P(A|B) = \frac{7}{15}P(A∣B)=157​, with 25 athletes and 15 musicians admitted.

Problem 628

Problem 629

be a boy? Round to three decimal places as needed A. 0.571 B. 0.314 C. 0.429 D. 0.71

Problem 630

Problem 631

Find the probability that in tossing a fair coin 3 times, there will appear a head at least twice. (Note: write the probability as an integer or as a percentile without the %\%% sign)

Problem 632

Problem 633

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et 0.4%0.4 \%0.4% des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

Problem 634

Problem 635

Problem 636

Problem 637

Problem 638

Problem 639

Problem 640

stion list uestion 5 uestion 6Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

Problem 641

Problem 642

Problem 643

Problem 644

Problem 645

Johnathan picked beads 50 times. He got red 12, yellow 14, blue 24. How many blue beads in 150 picks? (A) 36 (B) 42 (C) 72 (D) 78

Problem 646

In football, if 425 players are drafted, how many will have IQs within one standard deviation of the mean (100, σ=15\sigma = 15σ=15)?

Problem 647

A pack has 5 red, 6 yellow, 8 purple, and 11 blue balloons. What is the probability of picking a yellow balloon?

Problem 648

In an exam, 58%58\%58% passed Hindi, 48%48\%48% passed English, and 17%17\%17% failed both. What percent passed both? Options: (a) 23%23\%23% (b) 17%17\%17% (c) 33%33\%33% (d) 18%18\%18% (e) None.

Problem 649

Problem 650

Find the probability, $P(M \cap R)$ , associated with the tree diagram.
What is $\mathrm{P}(\mathrm{M} \cap \mathrm{R})$ ? $\square$ (Round to the nearest hundredth.)

Normal distribution: Given expected return $\bar{r} = 18.9\%$ and $C V = 0.75$ , find: a. $\sigma_{r}$ , b. ranges for $68\%, 95\%, 99\%$ , c. draw the distribution.

Identify the probability method the farmer used to find a $32\%$ chance of milking between 12 and 14 gallons.

Find the probability that a seasoned employee has a credit card, given the table: $P(\text{Credit Card | Seasoned}) = \frac{27}{92}$ . Round to two decimal places.

Find the probability that a voter is a woman given that they support the president: $P(W | S)$ .

Find the numbers for a Venn diagram where $P(B|A) = \frac{8}{24}$ , given 36 flu cases and 24 flu shots.

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

A survey of 50 students shows 25 like online classes and 35 are freshmen. Find counts for events $A$ , $B$ , $A \cap B$ , and neither.

Find the numbers for athletes and musicians in a Venn diagram if $P(A|B) = \frac{7}{15}$ , with 25 athletes and 15 musicians admitted.

Find the probability that in tossing a fair coin 3 times, there will appear a head at least twice. (Note: write the probability as an integer or as a percentile without the $\%$ sign)

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et $0.4 \%$ des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

stion list uestion 5 uestion 6
Which of the following is a true statement? A. A probability can never be 0. B. A probability is never less than 1 . C. A probability is never greater than 0 . D. A probability can never be negative.

In football, if 425 players are drafted, how many will have IQs within one standard deviation of the mean (100, $\sigma = 15$ )?

In an exam, $58\%$ passed Hindi, $48\%$ passed English, and $17\%$ failed both. What percent passed both? Options: (a) $23\%$ (b) $17\%$ (c) $33\%$ (d) $18\%$ (e) None.

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
The area of the shaded region is $\square$ (Round to four decimal places as needed.)

this distribution that corresponds to the given z -score. $z=-7$
The data item that corresponds to $\mathrm{z}=-7$ is $\square$ . (Type an integer or a decimal.)

Calculate the relative frequency $P(E)$ using the given information. $P(E)=\square$

A standard die is rolled. Find the probability that the number rolled is less than 5. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer