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A high school baseball player has a 0.224 batting average. In one game, he gets 7 at bats. What is the probability he will get at least 5 hits in the game?

 Feb 24, 2020
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This is a  binomial  probability

 

The probability of  at least  5  hits = 

 

P(5 hits) =  C (7,5)(.224)^5 (1-.224)^2

P(6 hits) =  C (6,5) (.224)^6 ( 1 - .224)

P(7 hits )  =  (.224)^7

 

Adding these we have

 

C (7,5)(.224)^5*(1-.224)^2  +  C (6,5) (.224)^6 *( 1 - .224)  + (.224)^7   ≈ .0077  ≈  0.77 %

 

 

cool cool cool

 Feb 24, 2020

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