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Consider an experiment that consists of N players independently tossing fair coins. Let A be the event that there is an "odd" man (that is, either exactly one of the coins falls heads or exactly one of the coins falls tails). For r = 1, 2, ... let X_rbe the number of times the experiment is repeated until the event occurs for the rth time.

(i) Find the mean and variance of X_r.

(ii) Evaluate E[X_r] and Var[X_T] for N = 3, 4,5 and r = 1, 2, 3.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M92661533

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