1. (2' +8') Two volleyball teams, Team A and Team B, are to play a 2-out-of-3 series, in which they continue to play until one has won 2 games. Suppose that Team A has probability 0.7 to win each game. Let X denote the number of the games played. (a) What are the possible values of X? (b) What is the probability distribution function px(k) of X?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4. (2' +8') Two volleyball teams, Team A and Team B, are to play a 2-out-of-3 series, in which
they continue to play until one has won 2 games. Suppose that Team A has probability 0.7
to win each game. Let X denote the number of the games played.
(a) What are the possible values of X?
(b) What is the probability distribution function px(k) of X?
Transcribed Image Text:4. (2' +8') Two volleyball teams, Team A and Team B, are to play a 2-out-of-3 series, in which they continue to play until one has won 2 games. Suppose that Team A has probability 0.7 to win each game. Let X denote the number of the games played. (a) What are the possible values of X? (b) What is the probability distribution function px(k) of X?
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