19. a. Suppose the continuous random variable X has the probability density function f (20) = 3 c(4x2 + 62), x E [0, 2] 0 , otherwise for some constant c. i. What is E(X)? ii. Calculate Pr(X > 1.5). b. Suppose the continuous random vector (X, Y) has the joint probability distribution f (x, y) = 3 c(4x y + y?), x E [0, 1], y E [0, 1] otherwise for some constant c. i. Calculate Pr(X + Y > 1.5). ii. Calculate E(Y) iii. What is Cov(X, Y)? iv. What is f (xly), the conditional probability density function of x given y? v. Compute E(X |Y) = 0.5