Two teams are going to play a best-of-7 match (the match will end as soon as either team

Chapter 4, Problem 6

(choose chapter or problem)

Two teams are going to play a best-of-7 match (the match will end as soon as either team has won 4 games). Each game ends in a win for one team and a loss for the other team. Assume that each team is equally likely to win each game, and that the games played are independent. Find the mean and variance of the number of games played.

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