An instructor has given a short quiz consisting of two parts. For a randomly selected student, let X = the number of points earned on the first part and Y = the number of points earned on the second part. Suppose that the joint pmf of X and Y is given in the accompanying table y P(x, y) 0 5 10 15 0.03 0.06 0.02 0.10 0.04 0.16 0.20 0.10 10 0.01 0.15 0.12 0.01 (a) If the score recorded in the grade book is the total number of points earned on the two parts, what is the expected recorded score E(X + Y)? (Enter your answer to one decimal place.) (b) If the maximum of the two scores recorded, what is the expected recorded score? (Enter your answer to two decimal places.)