A baseball player has a batting average of 0.37. What is the probability that he has exactly 3 hits in his next 7 at bats? Round your answer to four decimal places.

Question

A baseball player has a batting average of 0.37. What is the probability that he has exactly 3 hits in his next 7 at bats? Round your answer to four decimal places. 

The probability the baseball player has exactly 3 hits in his next 7 bats is _______.

Answer 1

Number of hits is a binomial variable, so probability of getting 3 hits in 7 tries is:

7! (0.37)^3 (0.63)^4 = 0.2793

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3! 4!