Question: 1. Let X and Y be two continuous random variables. (a) If X and Y are independent, show that they are also uncorrelated. (b) If

1. Let X and Y be two continuous random

1. Let X and Y be two continuous random variables. (a) If X and Y are independent, show that they are also uncorrelated. (b) If X and Y are independent, express Var(X - Y) in terms of Var(X) and Var(Y). (c) If X and Y are independent and E(X) = E(Y), are X and Y also orthogonal? (d) For the two continuous random variables X and Y have joint pdf given by (1, 0

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