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

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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 the second part Suppose that the joint pmf of X and Y is given in the accompanying table P x y 0 5 10 15 0 03 0 06 0 02 0 10 0 04 0 16 0 20 0 10 0 01 0 15 0 12 0 01 a If the score recorded in the grade book X 0 5 Y 10 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 is recorded what is the expected recorded score Enter your answer to two decimal places

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