A production process manufactures alternators for tanks. On the average, 1.5% of the alternators will not perform up to specifications. When a shipment of 100 alternators is received at the plant, they are tested, and if more than 2 are defective, the shipment is returned to the manufacturer. What is the probability of returning a shipment

0.1902 = 19.02% probability of returning a shipment

Step-by-step explanation:

For each alternator, there are only two possible outcomes. Either it is defective, or it is not. The probability of an alternator being defective is independent of any other alternator, which means that the binomial probability distribution is used 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.

1.5% of the alternators will not perform up to specifications.

This means that

Shipment of 100 alternators

This means that

What is the probability of returning a shipment?

Probability of more than 2 defective, which is:

In which

. So

Then

Then

0.1902 = 19.02% probability of returning a shipment

d

gimmee one of those gold crowns!

~coco