Solution-Find the expected number of games that are played

Find the expected number of games that are played

Reference no: EM13957995

1. Suppose that two teams play a series of games that ends when one of the teams has one i number of 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

(a) i = 2 and when

(b) i = 3. Show also in both cases that this number is maximized when p = ½.

2. Consider problem 1 with i = 2. Find the variance of the number of games played and show that this number is maximized when p = ½.

Reference no: EM13957995

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Find the expected number of games that are played

Reference no: EM13957995

Reference no: EM13957995

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