**Question 5**About 62% of people who are murdered knew the person who committed the murder.Suppose that Detective Moore's case load currently has 50 unsolved murders. Use a normal distribution approximation to the binomial distribution to find the following probabilities:a. What is the probability that no more than 28 of the victims among Detective Moore's case files knew their murderer?[Text box for answer]b. What is the probability that between 28 and 34 of the victims knew their murderer?[Text box for answer]

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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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In a binomial distribution, n=8 and pie=0.36. Find the probabilities of the following events. a. X=5 b. X<=5 c. X>=6
Suppose that 84% of all customers who use the service department at a certain automotive dealership would recommend the service to a friend. A random sample of 50 customers is taken. Canwe use the Normal distribution to compute probabilities about the sample proportion of thosewho would recommend the service to a friend? Why or why not?
Researchers have shown that the num-ber of successive dry days that occur after a rainstorm for particular regions of Catalonia, Spain, is a random variable thatis distributed exponentially with a mean of 8 days. Source:International Journal of Climatology.a. Find the probability that 10 or more successive dry daysoccur after a rainstorm.b. Find the probability that fewer than 2 dry days occur aftera rainstorm.
Suppose annual expenditures on the UCI branded clothing and accessories per student are uniformly distributed between $60 and $70. A What is the probability that a student will spend more than $67? B. What is the probability that a student will spend less than or equal to $62? C. What is the probability that a student will spend between $64 and $68? D. What is the probability that a student will spend between $68 and $75? E Determine the expected spending on UCI branded clothing and accessories per student. F. Determine the standard deviation of the expenditures on UCI branded clothing and accessories per student.
A concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in the USA Today. According to the survey, 37% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that out of five adults, exactly three are concerned that employers are monitoring their phone calls. Select one: O a. 1.85 Ob. 0.799 Oc. 0.201 d. 3.15
Assume that 26.6% of people have sleepwalked. Assume that in a random sample of 1517 adults, 418 have sleepwalked. a. Assuming that the rate of 26.6% is correct, find the probability that 418 or more of the 1517 adults have sleepwalked. b. Is that result of 418 or more significantly high? c. What does the result suggest about the rate of 26.6%?
About 69% of people who are murdered knew the person who committed the murder. Suppose that Detective Williams's case load currently has 49 unsolved murders. Use a nomal distribution approximation to the binomial distribution to find the following probabilities: a. What is the probability that at least 30 of the victims among Detective Williams's case files knew their murderer? b. What is the probability that between 30 and 39 of the victims knew their murderer?
Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record. What is the probability that he will not be subjected to the random audit for at least 3 years?a. describe random variable x.b. what distribution does x follow? explainc. what is the probability that he will not be subjected to the random audit for at least 3 years?
Suppose that 30 percent of an adult population have an infectious disease and 40 percent have achronic disease. Assume that having an infectious disease is independent from having a chronicdisease. For each of the questions below perform the calculation using appropriate statisticalnotation.a. What is the probability that a person selected at random will have both diseases?b. What is the probability of having the infectious disease for people with the chronic disease?c. What is the probability of having the infectious disease for people without the chronic disease?d. What is the probability of not having the infectious disease for people with the chronicdisease?
Suppose you called your local pharmacy to refill a prescription and are put on hold. Assume that the amount of time you will spend on hold is somewhere between 0 and 13 minutes and it follows a uniform distribution. What is the probability you will be on hold for exactly 8 minutes?
In the 2013 Jerry’s Artarama art supplies catalog, there are 310 pages. Ten of the pages feature signature artists. Suppose we randomly sample 100 pages, and a page may be sampled more than once. Let X = the number of pages that feature signature artists. What is the probability distribution? Find the following probabilities: Binomial distribution with n=100, p = 10/310 i. the probability that four pages feature signature artists ii. the probability that at most two pages feature signature artists iii. the probability that more than six pages feature signature artists.
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