2. Mary Peterson works at a local bank. She finds that sixty percent of all loan requestreceived from females. Eight loan requests will be received tomorrow.a. What is the probability that exactly six of the requests will be from female clients?b. What is the probability that no requests will be from female clients?c. What is the expected number of requests from female clients?d. What is the variance of the number of requests from female clients?

Answered: Image /qna-images/answer/52120918-f55e-42bc-9d54-b67e03b7031d.jpg

Answered: 2. Mary Peterson works at a local bank.…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have ½ 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive. a.) Fill out a probability cross tabulation. b.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug? c) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug?
18. Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Two hundred workers are chosen at random. a. Approximate the probability that 160 or fewer find their jobs stressful.
4. An IT department at a small business has 9 laptop computers and 18 desktop computers. The research group is allocated twelve computers. a. What is the probability that the research department will obtain exactly 8 laptops? b. What is the expected value of the distribution of the number of laptops obtained? c. What is the variance of the distribution of the number of laptops obtained?
a. The table below show the proportion of men and women who plan to vote in the next election. Three hundred men and 300 women were randomly selected and asked whether they planned to vote in the next election. men women plan to vote 170 185 do not plan to vote 130 115 What is the relative risk (likelihood) that men will vote versus men will not vote? a.1.567 b. 1.308 c. 0.583 d. 1.433 e. 0.764 b. During a poll, 115 people were randomly selected and asked their political party affiliation. The contingency table below shows the results cross-classified by political party affiliation and sex. Democrat Republican other total male 16 23 25 64 female 28 12 11 51 total 44 35 35 115 Find the conditional distribution of Republicans who are men. a. 0.557 b. 0.657 c. 0.20 d. 0.359 e. 0.25 c. For the given sample data and null hypothesis, compute the value of the test statistic. The claim is that the…
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10. Ten percent of computer parts produced by a certain supplier are defective. What is the probability that a sample of 10 parts contains more than 3 defective ones?
B. What is the probability a sample of 90 test takers will provide a sample mean test score within 10 points of the population mean of 515 on the mathematics part of the test. c. What is the probiotic a sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of 494 on the writing part of the test.
5. Big babies: The Centers for Disease Control and Prevention reports that 25% of baby boys 6-8 months old in the United States weigh more than 20 pounds. A sample of 150 babies is studied. a. Approximate the probability that more than 40 weigh more than 20 pounds. b. Approximate the probability that 35 or fewer weigh more than 20 pounds. c. Approximate the probability that the number who weigh more than 20 pounds is G 20
7. Aaron purchased 19 video games. The defect rate for these types of video games is 1.8%. What is the probability that at least three of the video games he purchased are defective?
A university found that 40% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. a. Compute the probability that 2 or fewer will withdraw (to 4 decimals). .0002 b. Compute the probability that exactly 4 will withdraw (to 4 decimals). c. Compute the probability that more than 3 will withdraw (to 4 decimals). d. Compute the expected number of withdrawals.
Twelve doctors work at a clinic, of which 3 were trained at Harvard Medical School. Four doctors are randomly selected from the 12 clinic doctors to attend a special conference. A. What is the probability that at least one of the doctors going to the conference is a Harvard Medical graduate? B. Find the standard deviation for the number of doctors out of the 4 that were trained at Harvard Medical School.
3. Assume that 12% of people are left-handed. You are trying to find 3 left-handed individuals to interview for an article. Assuming that everyone you approach is willing to be interviewed ... a) what is the probability that you need to approach exactly 6 people to find 3 left-handed individuals? b) what is the probability that you need to approach 6 or more people to find 3 left-handed individuals? c) what is the expected value of the number of individuals that you will need to approach to find 3 left- handed individuals?

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