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Please, type up answers and show work. Thank you! 6) Among the 318 members of a local union, 127 liked their congressional representative and 84

Please, type up answers and show work. Thank you!

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6) Among the 318 members of a local union, 127 liked their congressional representative and 84 liked their governor. 53 of these members liked both the congressional representative and the governor. Find the probability that a randomly chosen union member likes neither the congressional representative nor the governor Find the conditional probability that exactly four heads appear when a coin is flipped 5 times, given that the first flip came up heads ? We are given a random variable X with the following distribution P(X ) Find the expected value 2/ 3 IWN - X 1/ 6 and the variance of X 1/9 1/ 18 (9) ( Extra Credit ) We are given two random variables XI and X2 with the following distribution ( X, and Xz) have the same distribution ) ( continued on the next page ) P (X ) 1/5 JUNX 2 /5 2 / 5 Find the distribution of XI+ Xz

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