Question: 16. Let X and Y be two discrete random variables with the identical set of possible values A = {a1, a2, . . . ,

16. Let X and Y be two discrete random variables with the identical set of possible values A = {a1, a2, . . . , an}, where a1, a2, . . . , an are n different real numbers. Show that if E(Xr) = E(Y r), r = 1, 2, . . . , n − 1, then X and Y are identically distributed. That is, P(X = t) = P(Y = t) for t = a1, a2, . . . , an.

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