Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trialst. Suppose you are a news reporter following eleven criminal trials. A USE SALT (a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? (Round your answer to three decimal places.) What is this probability if the trials were in the United States? (Round your answer to three decimal places.) (b) Of the eleven trials, what is the expected number of guilty verdicts in Japan? verdicts What is the expected number in the United Sates? verdicts What is the standard deviation in Japan? (Round your answer to two decimal places.) verdicts What is the standard deviation in the United States? (Round your answer to two decimal places.) verdicts (c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? trials What is the smallest number of trials n you would need if you covered trials in Japan? trials

MATLAB: An Introduction with Applications
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Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60%
of the defendants are found guilty in criminal trialst. Suppose you are a news reporter following eleven criminal trials.
In USE SALT
(a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? (Round your answer to three
decimal places.)
What is this probability if the trials were in the United States? (Round your answer to three decimal places.)
(b) Of the eleven trials, what is the expected number of guilty verdicts in Japan?
verdicts
What is the expected number in the United Sates?
verdicts
What is the standard deviation in Japan? (Round your answer to two decimal places.)
verdicts
What is the standard deviation in the United States? (Round your answer to two decimal places.)
verdicts
(c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or
more convictions?
trials
What is the smallest number of trials n you would need if you covered trials in Japan?
trials
Transcribed Image Text:Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trialst. Suppose you are a news reporter following eleven criminal trials. In USE SALT (a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? (Round your answer to three decimal places.) What is this probability if the trials were in the United States? (Round your answer to three decimal places.) (b) Of the eleven trials, what is the expected number of guilty verdicts in Japan? verdicts What is the expected number in the United Sates? verdicts What is the standard deviation in Japan? (Round your answer to two decimal places.) verdicts What is the standard deviation in the United States? (Round your answer to two decimal places.) verdicts (c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? trials What is the smallest number of trials n you would need if you covered trials in Japan? trials
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