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A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 and 6 (includ

Home/Math/A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 and 6 (includ

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 and 6 (includ

Question

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 and 6 (including endpoints) have a laptop.

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. 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 study indicates that 62% of students have have a laptop.

This means that

You randomly sample 8 students.

This means that

Find the probability that between 4 and 6 (including endpoints) have a laptop.

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

## Answers ( )

Answer:72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distributionThe 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 study indicates that 62% of students have have a laptop.This means that

You randomly sample 8 students.This means that

Find the probability that between 4 and 6 (including endpoints) have a laptop.72.69% probability that between 4 and 6 (including endpoints) have a laptop.