Question: 13. Let X and Y be two discrete random variables with the identical set of possible values A = {a, b, c}, where a, b,

13. Let X and Y be two discrete random variables with the identical set of possible values A = {a,

b, c}, where

a, b, and c are three different real numbers. Show that if E(X) = E(Y ) and Var(X) =Var(Y ), then X and Y are identically distributed. That is, P (X = t) = P (Y = t) for t =

a, b, c.

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