(Answered) Question 1 let x be a discrete rv with support n n 1 0n 1

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Question: 1. Let X be a discrete r.v. with support n, n + 1,..., 0,...,n 1, n for some positive integer n. Suppose that the PMF of X satisfies the symmetry property P(X = k) = P(X = k) for all integers k. Find E(X).

2. Are there discrete random variables X and Y such that E(X) > 100E(Y ) but Y is greater than X with probability at least 0.99?

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