Answer:
0.0068% probability he will get at least 7 hits in the game
Explanation:
For each at bat, there are only two possible outcomes. Either he gets a hit, or he does not. The probability of getting a hit in an at-bat is independent of other at-bats. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A high school baseball player has a 0.159 batting average.
This means that in each at-bat, the probability of getting a hit is 0.159.
9 at bats.
This means that
What is the probability he will get at least 7 hits in the game?
In which
0.0068% probability he will get at least 7 hits in the game