If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?

14.78% probability that a sample of 10 covers will contain exactly 2 defectives

Step-by-step explanation:

For each cover, there are only two possible outcomes. Either it is defective, or it not. The probability of a cover being defective is independent from other covers. 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.

If the fraction of defective covers produced on the USB Mouse Factory production line is known to be 8%, what is the probability that a sample of 10 covers will contain exactly 2 defectives?

This is when . So

14.78% probability that a sample of 10 covers will contain exactly 2 defectives

you can not drow on this

step-by-step explanation: