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(8 points) Answer the following two questions. (a) Let X be a random variable that takes values in the set 8X 2 {0,1, 2}. Find

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(8 points) Answer the following two questions. (a) Let X be a random variable that takes values in the set 8X 2 {0,1, 2}. Find a probability mass function (PMF) for X under which E[X] = % and E(X2) = g. (b) (Textbook 3.68) Find the mean and variance of the uniform discrete random variable that takes on values in the set {1, 2, 3, ..., L}. You will need the following formulas: Z,=An,(n+1)

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