Question

A high school baseball player has a 0.326 batting average. In one game, he gets 5...

A high school baseball player has a 0.326 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 3 hits in the game?

Homework Answers

Answer #1

Please note

Binomial Probability = nCx * (p)x * (q)n-x, where n = number of trials and x is the number of successes.

Here n = 5, p = 0.326, q = 1 – p = 0.674 .

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P(At least 3) = P(3) + P(4) + P(5)

P(X = 3) = 5C3 * (0.326)3 * (0.674)5-3 = 0.1574

P(X = 4) = 5C4 * (0.326)4 * (0.674)5-4 = 0.0381

P(X = 5) = 5C5 * (0.326)5 * (0.674)5-5 = 0.0037

Therefore P(At least 3) = 0.1574 + 0.0381 + 0.0037 = 0.1992

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