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Innocent until proven guilty? In Japanese criminal trials about 95% of the defen

ID: 3368466 • Letter: I

Question

Innocent until proven guilty? In Japanese criminal trials about 95% of the defendants are found guilty in criminal trialst. Suppose you are a news reporter following nine criminal trials. n the Un ted States, about of the defer ants are our d guity (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.) 630 What is this probability if the trials were in the United States? (Round your answer to three decimal places.) 010 (b) Of the nine trials, what is the expected number of guilty verdicts in Japan? (Round your answer to two decimal places.) 43 x verdicts What is the expected number in the United Sates? (Round your answer to two decimal places.) .65 X 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 US-news reporter, how many trials n would you need to cover to be at least 99% sure of two or more convictions? How many trials n would you need if you covered trials in Japan? trials

Explanation / Answer

b)expected number Japan=np=9*0.95=8.55

expected number United States =9*0.6=5.4

std deviaiton Japan =sqrt(np(1-p))=0.65

std deviaiton United States =sqrt(np(1-p))=1.47

c)

for US: umber of trails that need to be covered n=8

for Japan umber of trails that need to be covered n=3