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The probability that the Rockies will win any given game is 0.63. An upcoming schedule contains...

The probability that the Rockies will win any given game is 0.63. An upcoming schedule contains 22 games.

a. Compute the probability that the Rockies will win at most 15 games in the upcoming schedule.

b. Compute the probability that the Rockies will win between 17 and 20 games, inclusive, in the upcoming schedule.

c. Compute the probability that the Rockies will win at least 12 games in the upcoming schedule.

d. Compute the probability that the Rockies will win between 12 and 18 games, inclusive, given that they won at most 15 games in the upcoming schedule.

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