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5. A statistics practitioner working for major league baseball determined that the probability that a hitter...

5. A statistics practitioner working for major league baseball determined that the probability that a hitter will be out on a ground ball is 0.75. The practitioner also determined that if a batter hits a line drive, the probability of an out is 0.23.

a. In a game where there are 20 ground balls, find the probability that all of them were outs.

b. In a game with 10 line drives, find the probability at least 5 were outs.

c. In a game with 25 line drives, find the probability there are 5 outs or less

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