In many sports championships, the winner is the first team
to win four games. For this exercise, assume that each game
is independent of the others, with a constant probability p
that one specified team wins.
(a) Find the probability that the series lasts for four,
five, six, and seven games when p = 0.67.
(Hint: Of the two teams in the championship, suppose that
the first team wins the series, so they must win the last
game. Consider how the previous games might come out. Then consider
the probability that the second team wins.)
(b) Find the probability that the series lasts for four,
five, six, and seven games when p = 0.78.
(c) Some have argued that the assumption of independence does
not apply. Discuss this issue.
In many sports championships, the winner is the first team to win four games. For this exercise, assume that each game
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answerhappygod
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In many sports championships, the winner is the first team to win four games. For this exercise, assume that each game
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