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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 trial. Suppose you are a news reporter following twelve criminal trials.   a.  If the trials were in Japan, what is the probability that all the defendants would be found guilty? ( Round your answers to three decimal places) what is the probability of the trials were in the United States? ( Round your answer to three decimal places) b. Of the twelve trials, what is the expected number of guilty verdicts in Japan? what is the expected number in the United States? What is the standard deviation in Japan? ( around your answer to two decimal places) what  is the standard deviation in United States ( Round your answer to two decimal place

- October 5, 2022 - Edwin Tunner

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 trial. Suppose you are a news reporter following twelve criminal trials.  

a.  If the trials were in Japan, what is the probability that all the defendants would be found guilty? ( Round your answers to three decimal places)

what is the probability of the trials were in the United States? ( Round your answer to three decimal places)

b. Of the twelve trials, what is the expected number of guilty verdicts in Japan?

what is the expected number in the United States?

What is the standard deviation in Japan? ( around your answer to two decimal places)

what  is the standard deviation in United States ( Round your answer to two decimal places)

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?

what is the smallest number of trials n you would need if you covered trials in Japan

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