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Suppose that two teams, A and B play a series of games that ends when one...

Suppose that two teams, A and B play a series of games that ends when one of them has won 3 games. Suppose that games are played independently and both teams have equal chances of winning in each game. Let X be the number of games played.

(i) Find the probability mass function of X. (ii) Find the expected value of X

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