### Understanding Probabilities in Crime Investigations**Question:**What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders.**Analysis:**Can we use the normal distribution to estimate the probabilities above?**Possible Answers:**- ⭕ Yes, because \( npq \) is less than 10- ⭕ Yes, because \( npq \) is greater than 10- ⭕ No, because \( npq \) is greater than 10- ⭕ No, because \( npq \) is less than 10**Explanation:**To determine whether we can approximate the binomial distribution with a normal distribution, we need to check the condition of the normal approximation rule, which states that for the normal approximation to be appropriate:- Both \( np \) and \( nq \) should be greater than 10, where \( n \) is the sample size, \( p \) is the probability of success, and \( q \) is the probability of failure (\( q = 1 - p \)).Given:- \( n = 63 \)- \( p = 0.64 \)- \( q = 0.36 \)We calculate:- \( np = 63 \times 0.64 = 40.32 \)- \( nq = 63 \times 0.36 = 22.68 \)Since both \( np \) and \( nq \) are greater than 10, we conclude that the normal distribution can indeed be used to estimate the probabilities.**Correct Answer:**- ⭕ Yes, because \( npq \) is greater than 10

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What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders. Can we use the normal distribution to estimate the probabilities above? yes, because npq is less than 10 yes, because npq is greater than 10 no, because npq is greater than 10 O no because npq is less than 10

What are the chances that a person who is murdered actually knew the murdered? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim. About 64% of people who are murdered actually knew the person who committed the murder. Suppose that a detective has 63 current unsolved murders. Can we use the normal distribution to estimate the probabilities above? yes, because npq is less than 10 yes, because npq is greater than 10 no, because npq is greater than 10 O no because npq is less than 10

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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