Question: 14 Let X and Y be two discrete random variables with the identical set of possible values A = {a, b, c), where a, b,

14 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 = 1) = P(Y=1) fort =

a, b, c.

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