A high school baseball player has a 0.217 batting average. In one game, he gets 5...

A high school baseball player has a 0.217 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 3 hits in the game?

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Expert Solution

A high school baseball player has batting average 0.217 means the probability that they will get a hit in any one at-bat is 0.217

He gets 5 at a bat that is n = 5

That is n = 5 and p = 0.217,

That is X: number of hits in the game follows Binomial distribution with parameter n = 5 and p = 0.217

At least means that specific value and more than it.

Using binomial formula the probabilities are,

The formula to find the binomial probability is,

The probability he will get at least 3 hits in the game is 0.07181

orchestra answered 1 year ago

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