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11. Short proofs (a) Show that if the rvs Y and Yare independent, they are uncorrelated. (b) Let X and Y be uncorrelated random variables with non-zero means. Can X and Ybe orthogonal? (c) Let X, Y and Z be random variables such that (i) Are X and y orthogonal? (Show why or why not.) (ii) Are X and y correlated? (Show why or why not.)

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