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An urn contains 20 balls labelled 1, . . . ,20. Suppose that 3 balls are being removed from theurn at random, and letX=the maximum

An urn contains 20 balls labelled 1, . . . ,20. Suppose that 3 balls are being removed from theurn at random, and letX=the maximum number appearing on a ball removed.

(a) Calculate its probability mass function.

(b) Calculate E[X].

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