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Two probability distributions of the discrete random variable X and Y are given below.

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Two probability distributions of the discrete random variable X and Y are given below. Prove that E(Y)2=2E(X). Select the correct answer from above options

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Since, we have to prove that, E(Y2) =2E(X) -----(i) Taking LHS of equation (i), we have: E(Y)2= Y2P(Y) Thus, from equations (ii) and (iii), we get: E(Y2) =2E(X) Hence proved.

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