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Proof of the Properties of the Expectation and Variance Let X, Y be some random variables and a R. How should I prove that .

Proof of the Properties of the Expectation and Variance

Let X, Y be some random variables and a R. How should I prove that .

(a) E(aX + Y ) = aE(X) + E(Y).

(b) V(aX) = a^2 (E(X2 ) E(X)^2 ).

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