Question

Suppose that two teams play a series of games that ends when one of them has...

Suppose that two teams play a series of games that ends when one of them has won 3 games. Suppose that each game played is, independently, won by team A with probability  
7/10 . Let X  be the number of games that are played.
(a) Find P(X  =  5)
(b) Find the expected number of games played.

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