Suppose that X has mean mu x and variance and suppose that Y

Suppose that X has mean mu x and variance and suppose that Y has mean mu y and variance . Suppose the correlation between X and Y is rho. Let U = aX + b and V = cY + d where a, b, c, d are constants. Find Covariance(U, V) in terms of a, b. c. d. mu x. , and rho. Find Corr(U, V) in terms of a, b, c, d. Suppose that W and V are two random variables with Var(W) = 4, Var(V) = 9, and Cov(W,V) = 2. Find Var(-4W + 3V - 2). Suppose that X and Y are random variables with cov(X, Y) = 3. Find cov(2X - 4, 3 - 5Y).

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