An instructor has given a short quiz consisting of twoparts. For a randomly selected

Chapter 5, Problem 22

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An instructor has given a short quiz consisting of twoparts. For a randomly selected student, let X 5 thenumber of points earned on the first part and Y 5 thenumber of points earned on the second part. Supposethat the joint pmf of Xand Y is given in the accompanyingtable.yp(x, y) 0 5 10 15 0 .02 .06 .02 .10x 5 .04 .15 .20 .10 10 .01 .15 .14 .01a. If the score recorded in the grade book is the totalnumber of points earned on the two parts, what is theexpected recorded score E(X 1 Y)?b. If the maximum of the two scores is recorded, whatis the expected recorded score?

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