2 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 accompany ing table p x y 550 10 0 02 04 01 5 06 15 15 y 10 02 20 14 15 10 10 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 b If the maximum of the two scores is recorded what is the expected recorded score