Problem 2: Let X and Y be two independent random variables with E(X) = 1, E(Y) = 0, Var(X) = 4, Var(Y) = 2. Let W = 2X + Y +1 and Z = 3X +Y. a) Find the expect ed value of W, the expected value of Z. b) Find the variance of W. c) Find the covariance of Z and W.

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