(a) Explanation Given: Probability of winning a match p = 0.5 Explanation: If a team wins, then it is sure that the team wins the last match of the series. So, the probability depends on the previous matches except the last one. So, find the probabilities excluding last game. Probability that the series lasts for four games: P ( series lasts for 4 games ) = C ( 3 , 3 ) × ( 0.5 ) 3 × ( 0.5 ) 3 − 3 = 0.125 Probability that the series lasts for five games: P ( series lasts for 5 games ) = C ( 4 , 3 ) × ( 0.5 ) 3 × ( 0.5 ) 4 − 3 = 0 (b) To determine The probabilities that the series lasts for four, five, six, and seven games. (c) To determine Whether the assumption of independence does not apply.

11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 8.4, Problem 59E

(a)

To determine

The probabilities that the series lasts for four, five, six, and seven games.

(b)

To determine

The probabilities that the series lasts for four, five, six, and seven games.

(c)

To determine

Whether the assumption of independence does not apply.

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Chapter 8.4, Problem 58E

Chapter 8.5, Problem 1E

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Chapter 8 Solutions

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The probabilities that the series lasts for four, five, six, and seven games.

Solution Summary: The author explains how the probability of winning a match depends on the previous matches except the last one.

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The probabilities that the series lasts for four, five, six, and seven games.

The probabilities that the series lasts for four, five, six, and seven games.

Whether the assumption of independence does not apply.

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