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

Please type up solved 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 2 1/ 6 and the variance of X 1/9 1/ 18 (9 ( Extra Credit) We are given two random variables X and XZ with the following distribution. ( X, and Xz) have the same distribution) ( continued on the next page) X P (X ) 1/5 CON 2/5 2 / 5 Find the distribution of XI+ Xz

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