Untitled document - Google Doc: x @ Homepage - MATH120 1001 Sun x VA Homework Week 4 (ADA) - MATH X VA Cengage Learning x VitalSource Bookshelf: Principles x _ Untitled document - Google Docs x | + X C webassign.net/web/Student/Assignment-Responses/submit?dep=27076064&tags=autosave#question4261279_4 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 trials. (Source: The Book of Risks, by Larry Laudan, John Wiley and Sons) Suppose you are a news reporter following ten criminal trials. (For each answer, enter a number.) (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 ten trials, what is the expected number of guilty verdicts in Japan? (Round your answer to two decimal places.) |verdicts What is the expected number in the United Sates? (Round your answer to two decimal places.) 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 Need Help? Read It Watch It 12. [-/8.37 Points] DETAILS BBBASICSTAT8ACC 6.3.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the geometric probability distribution to solve the following problem. On the leeward side of the island of Oahu, in a small village, about 73% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, ... represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) (n) = (.73)(.20)(n-1) (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = .73 P (2 ) = P(3) = c) Compute the probability that n 2 4. Hint: P(n 2 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3). (Enter a number. Round your answer to three decimal places.) d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use u for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents M 9 A A Q V A 12:49