## A basketball player is historically an 82% free throw shooter. If she attempts 10 free throws, what is the probability she makes at least 8

Question

A basketball player is historically an 82% free throw shooter. If she attempts 10 free throws, what is the probability she makes at least 8 of them? (Round to three decimal places)

1. 0.737
2. 0.820
3. 0.561
4. 0.296

please show how you figure it out that way i know for future reference.

in progress 0
1 week 2021-09-15T10:11:17+00:00 1 Answer 0

## Answers ( )

1. 0.737

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either the player makes it, or he does not. The probability of the player making a free throw is independent of other free throws. 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 basketball player is historically an 82% free throw shooter.

This means that

She attempts 10 free throws

This means that

What is the probability she makes at least 8 of them?