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Two teams A and B are playing against each other in a tournament. The first team...

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Statistics

Two teams A and B are playing against each other in atournament. The first team to win 3 games is the champion. In eachof the games, A has a probability of 0.25 to win, independent ofthe outcome of the previous games. Let random variable X representthe number of the games played.

(b) compute the PMF Px(x)

(d) During the tournament, team A was not able to win thetournament after the first 4 games. Compute the conditional PMFPX|X>4 (x)

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