Suppose that the random variables X, Y and Z are independent with E(X) = 2, Var(X) =

Question:

Suppose that the random variables X, Y and Z are independent with E(X) = 2, Var(X) = 4. E(Y) = -3, Var(K) = 2. E(Z) = 8 and Var(Z) = 7. Calculate the expectation and variance of the following random variables.
(a) 3X + 7
(b) 5X - 9
(c) 2A + 6K
(d) 4X - 3Y
(e) 5X - 9Z + 8
(f) -3Y - Z - 5
(g) X + 2K + 3Z
(h) 6X4 - 2K - Z + 16