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2. [Variance and covariance] Suppose X and Y are jointly distributed random variables with E[X] = 1, E[Y] = -1, Var(X) = 9, Var(Y) =

2. [Variance and covariance] Suppose X and Y are jointly distributed random variables with E[X] = 1, E[Y] = -1, Var(X) = 9, Var(Y) = 4, and p = 0.5. Let Z = 3X + Y +1. (a) Find E[Z] and Var(Z). (b) Find Cov(Z, X - Y)

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