Question 5<>About 59% of people who are murdered knew the person who committed the murder.Suppose that Detective Young's case load currently has 50 unsolved murders. Use a normal distributionapproximation to the binomial distribution to find the following probabilities:a. What is the probability that no more than 25 of the victims among Detective Young's case files knewtheir murderer?Submit Questionb. What is the probability that between 25 and 35 of the victims knew their murderer?

Givenp=0.59sample size(n)=50Let "x" be the no.of victims knew their…

Answered: About 59% of people who are murdered…

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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Suppose that 30% of all students who have to buy a text for a particular course want anew copy, whereas the other 70% want a used copy. Consider random selected 25purchases.(a) What is the probability that the number who wants new copies is more that twostandard deviations away from the mean value?(b) The bookstore has 15 new copies and 15 used copies in stock. If 25 people come inone by one to purchase this text, what is the probability that all 25 will get the type ofbook that want from the current stock?
Assume that 39.1% of people have sleepwalked. Assume that in a random sample of 1541 adults, 611 have sleepwalked. a. Assuming that the rate of 39.1% is correct, find the probability that 611 or more of the 1541 adults have sleepwalked. b. Is that result of 611 or more significantly high? c. What does the result suggest about the rate of 39.1%?
A recent survey reported that 47% of 18- to 29-year-olds in a certain country own tablets. What is the probability that in the next six 18- to 29-year-olds surveyed, four will own a tablet? Use the binomial distribution.
Suppose you are throwing an outdoor lunch event for a group of 300 people. Wanting to be inclusive, you decide to offer vegetarian options. Since you thought of vegetarians at the last minute, you are not sure how many are attending, but a quick google search shows that vegetarianism occurs at a rate of 5% according to a recent poll. Assume that the requirements for a binomial distribution have been satisfied. What is the probability that you will have more than 10 vegetarians attending your event? What is the probability that you will have less than 20 vegetarians attending your event? Find the mean number of vegetarians that you would expect to attend this event. Create a “usual range” of the number of vegetarians that you would expect to attend such an event Max usual range: Min usual range:
You know that 0.90 is the probability of seeing a guy with a blue shirt. Suppose that you see three guys walking out of the classroom and it is independent (Independent events are those events whose occurrence is not dependent on any other event.) What is the probability that the second guy did not wear blue given the first and the last guy wore blue? Should we use geometric probability distribution?
In the probability distribution to the right, the random variable X represents the number of marriages an individual aged 15 years or older has been involved in. Compute and interpret the mean of the random variable X Px = marriages (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. If many randomly selected individuals aged 15 years or older were surveyed, the observed number of marriages will be equal to the mean number of marriages for most individuals. OB. If many randomly selected individuals aged 15 years or older were surveyed, the observed number of marriages will be less than the mean number of marriages for most individuals OC. If many randomly selected individuals 40 to 49 years of age were surveyed, the sample mean number of marriages should be close to the mean of the random variable. OD. If many individuals aged 15 year or older were surveyed, the sample mean number of marriages should be close to the mean of…
Suppose 22% of students at a certain university are out of state students. A professor takes a random sample of 50 students. Let X = the number of out of state students in the sample. a. how many students are expected to be out of state? by how much does this vary? b. what is the probability that 10 will be out of state? c. what is the probability that 10 or fewer will be out of state? d. what is the probability that fewer than 10 will be out of state?
Use the scenario below to determine the correct values of n, p, q and x of the binomial distribution. Suppose that in a certain video game there is a 5.1% item drop rate of wild meat after defeating a Beast Master. Assume 14 Beast Masters are defeated. What is the probability that 5 wild meats will drop? n = p = q = X =
It has been estimated that only about 25% of residents in Ventura County have adequate earthquake supplies. Suppose you randomly survey 5 residents in the County. Let X be the number of residents who have adequate earthquake supplies. Please show the following answers to 4 decimal places. a. What is the probability that exactly 2 residents who have adequate earthquake supplies in this survey? b. What is the probability that less than 2 residents who have adequate earthquake supplies in this survey? c. What is the probability that at most 2 residents who have adequate earthquake supplies in this survey? d. What is the probability that between 1 and 3 (including 1 and 3) residents who have adequate earthquake supplies in this survey?
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?
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

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