Question 2

and (2) Consider two random variables: X and Y. The expected value of X is #x, and the variance of X is of. The ex- pected value of Y is My, and the variance of Y is o? . Let Z = aX + BY, where a and S are some nonzero constants. (a) (10 pts) Find the expected value of Z. (b) (20 pts) Find the variance of Z if the correlation of X and Y is 0.5. (3) (20 pts) Consider two random variables: X and Y. Suppose ElyLY] Sh