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

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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