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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 thesecond part. Suppose that the joint pmf of X and Y is given:
p(x,y) y = 0 5 10 15
0 .02 .06 .02 .10
x 5 .04 .15 .20 .10
10 .01 .15 .14 .01
If the maximum of the two scores is recorded, what is theexpected recorded score?

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