Two teams are playing a series of games that ends when one of the teams has won

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Two teams are playing a series of games that ends when one of the teams has won a total of i games. Each game is independently won by team A with probability p and by team B with probability 1−p.

(a) If i = 4, find the probability that a total of 7 games are played, and show that this probability is maximized when p = 1/2.

(b) Find the expected number of games played when i = 2.

(c) Find the expected number of games played when i = 3.

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Introduction To Probability Models

ISBN: 9780443187612

13th Edition

Authors: Sheldon M. Ross

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Question Posted: Sep 19, 2024 10:06 PM

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Two teams are playing a series of games that ends when one of the teams has won

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Introduction To Probability Models

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