Let X be a random variable such that P(X-1) P(X = 0) = P(X = 1}= Let Y be another random variable such that E[Y[X]=3 | 3X and Var[Y|X=3. For each question, provide a numerical answer and a proof of your answer. (a) What is E[X]? use standard normal table when needed for approximations (b) What is E[X2]? (c) What is E[Y]?

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