Suppose that the random variables X, Y, and Z are
Chapter 2, Problem 2.6.1(choose chapter or problem)
Suppose that the random variables X, Y, and Z are independent with E(X) =2, Var(X) =4, E(Y) =3, Var(Y) =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) 2X +6Y (d) 4X 3Y (e) 5X 9Z +8 (f)3Y Z 5 (g) X +2Y +3Z (h) 6X +2Y Z +16
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