A factory makes car batteries. The probability that a battery is defective is 1/14. If 400 batteries are tested, about how many are expected to be defective?

28.6, that is, about 29 are expected to be defective

Step-by-step explanation:

For each battery, there are only two possible outcomes. Either it is defective, or it is not. The probability of a battery being defective is independent of other betteries. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

The probability that a battery is defective is 1/14.

This means that

400 batteries.

This means that

How many are expected to be defective?

28.6, that is, about 29 are expected to be defective

answer: there are 453.592 grams in a pound.

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3