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In: Statistics and Probability

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

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

(b) compute the PMF Px(x)

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

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