A softball player's batting average is defined as the ratio of hits to at bats. Suppose that a player has a 0.250 batting average and is very consistent, so that the probability of a hit is the same every time she is at bat. During today's game, this player will be at bat exactly three times. (a) What is the probability that she ends up with two hits? (b) What is the probability that she ends up with no hits? (c) What is the probability that she ends up with exactly three hit? (d) What is the probability that she ends up with at most one hit?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A softball player's batting average is defined as the ratio of hits to at bats. Suppose that a player has
a 0.250 batting average and is very consistent, so that the probability of a hit is the same every time
she is at bat. During today's game, this player will be at bat exactly three times.
(a) What is the probability that she ends up with two hits?
(b) What is the probability that she ends up with no hits?
(c) What is the probability that she ends up with exactly three hit?
(d) What is the probability that she ends up with at most one hit?
Transcribed Image Text:A softball player's batting average is defined as the ratio of hits to at bats. Suppose that a player has a 0.250 batting average and is very consistent, so that the probability of a hit is the same every time she is at bat. During today's game, this player will be at bat exactly three times. (a) What is the probability that she ends up with two hits? (b) What is the probability that she ends up with no hits? (c) What is the probability that she ends up with exactly three hit? (d) What is the probability that she ends up with at most one hit?
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