A large science department at the university made a list of its top 20 juniors and top

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A large science department at the university made a list of its top 20 juniors and top 30 seniors.

The first list contains 8 females and the second 10 females. One person is randomly selected from each list and the two selections are independent. Let X denote the number of females selected.

(a) For each possible value of X, identify the elementary outcomes associated with that value.

(b) Determine the probability distribution of X.

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