## 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.

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1 month 2021-10-10T02:45:27+00:00 1 Answer 0 views 0

## Answers ( )

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.