Question: 15 Let X and Y be two discrete random variables with the identical set of possible values A = (a, az, an), where a, a...

15 Let X and Y be two discrete random variables with the identical set of possible values A =

(a, az, an), where

a, a... a,, are n different real numbers. Show that if E(X') = E(Y'), r=1, 2, 1, then X and Y are identically distributed. That is, P(X = 1) = P(Y=1) forta1, a2. a.

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