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1. Let (X, Y) be a pair of random variables. Prove the following inequality: |E(XY ) | 0 and E[(aX - by)2] 2 0. You

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1. Let (X, Y) be a pair of random variables. Prove the following inequality: |E(XY ) | 0 and E[(aX - by)2] 2 0. You may easily see that the two inequalities are true because the expectation of any non-negative random variable is non-negative)

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