Suppose that 10 computer chips are randomly selected from a large shipment. If 95% of the computer chips work properly, and each chip works independently of one another, what is the probability that at least 8 of the chips work?

0.9884 = 98.84% probability that at least 8 of the chips work

Step-by-step explanation:

For each chip, there are only two possible outcomes. Either it works, or it does not. The chips work independently of one another. 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.

10 computer chips are randomly selected from a large shipment.

This means that

95% of the computer chips work properly

This means that

What is the probability that at least 8 of the chips work?

This is

In which

Then

0.9884 = 98.84% probability that at least 8 of the chips work

probably the last option

step-by-step explanation: