The Warriors and the Cavaliers are playing in the NBA Finals, a best-of-seven championship in which the first team to win four games wins the series. Ties do not occur, and not all seven games need to be played if fewer are needed to crown a champion. Suppose that the probability of the Warriors winning an individual game is p = 0.60, independent of the outcome of any other game in the series.

(a) Compute the probability that the Warriors win the Finals in 4 games. (b) Compute the probability that the Warriors win the Finals in 5 games. (c) Compute the probability that the Warriors win the Finals. (d) Let N be the number of games needed to determine a winner. Compute E[N].