xpected number of games that are played when i = 2. Also, s ximized when p = 1/2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose that two teams play a series of games that ends when one of them has won i
games. Suppose that each game played is, independently, won by team A with probability
p. Find the expected number of games that are played when i = 2. Also, show that this
number is maximized when p = 1/2.
Transcribed Image Text:Suppose that two teams play a series of games that ends when one of them has won i games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played when i = 2. Also, show that this number is maximized when p = 1/2.
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