Consider X1 and X2 given in Exercise 3-173. Define Y X1X2. Compute the mean and variance of Y.

Exercise 3-173

If X1 and X2 are independent random variables with E(X1) = 2, E(X2) = 5, V(X1) = 2, V(X2) = 10, and Y = 3X1   5X2, determine the following.

(a) E(Y )

(b) V(Y)