In a typical sports playoff series, two teams play a sequence of games until one team, the

Question:

In a typical sports playoff series, two teams play a sequence of games until one team, the eventual winner, has won four games. Suppose that in each game team A beats team B with a probability of 0.55. and that the results of different games are independent.
(a) Explain how the negative binomial can used to analyze this problem.
(b) What is the probability that team A wins the series'1 game seven?
(c) What is the probability that team A wins the series game six?
(d) What is the probability that the series is over after game five?
(e) What is the probability that team A wins the series.' Distribution
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