6. Suppose that 25% of all subscribers to a business magazine earn an income of more than$75,000. The magazine polls 20 subscribers at random to determine how much they make,a) What is the probability that none of the subscribers make more than $75,000?b) What is the probability that exactly half of the subscribers make less than $75,000?c) Find the variance of the number of people in this sample who earn more than $75,000.

Given that n=20 , p=25%=0.25 , q=1-p=1-0.25=0.75 p=Probability of income more than $75000…

Answered: 6. Suppose that 25% of all subscribers…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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9. Suppose three fair coins are flipped. Let a random variable count the number of tails. a.) Find the probability distribution. b.) Find the mean of the probability distribution. c.) Find the variance and the standard deviation of the probability distribution.
An insurance company found that 2.4% of male drivers between the ages of 18 and 25 are involved in serious accidents annually. To simplify the analysis, assume that every such accident costs the insurance company $62,000 and that a driver can only have one of these accidents in a year. Complete parts (a) through (c). (a) If the company charges $2,600 for such coverage, what is the chance that it loses money on a single policy? P(loses money)= .024 (Type an integer or a decimal.) (b) Suppose that the company writes 1,000 such policies to a collection of drivers. What is the probability that the company makes a profit on these policies? Assume that the drivers don't run into each other and behave independently. P(profit) = .976 (Round to five decimal places as needed.)
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?
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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…
5. Approximately 10% of American high school students drop out of school before graduation. Choose 20 students entering high school at random. Find the probability that a) No more than 10 drop out. b) All stay in school and graduate c) At least 18 graduate. Find the mean and variance of the number of students finished high school and graduated.
3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
Researchers are concerned about the rise in gun violence in their community among the adolescent population. Suppose the researchers believe that this rise in violence is due to an increase in depressive symptoms among the demographic aged 11-17. Suppose the researchers estimate that only 21% of this population suffers from depressive-like symptoms. Use a binomial distribution to solve for the following. a) What is the probability of finding no one with depressive-like symptoms in a sample of 8? b) What is the probability that at least 2 respondents of a sample of 8 report these symptoms? c) What is the expected number of adolescents in the sample to report the symptoms?
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