Question

A baseball player has a batting average of .211 (in other words, he gets a hit 21.1 % of the time that he goes up to bat). If he goes up to bat 13 times, what is the probability that he will get exactly 4 hits?

Answer 1

Suppose getting hit is the success of our interest.

p=probability of success= 0.211

n=number of trials= 13

Let X is the number of hits when the player bats 13 times

Probability mass function is given by,

We want to compute P(X=4)

The probability that he will get exactly 4 hits is 0.167930234