## Determine the failure rate in batches

A **binomial experiment** is a statistical experiment that has the following properties:

- The experiment consists of
*n*repeated trials. - Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.
- The probability of success, denoted by
*P*, is the same on every trial. - The trials are independent; that is, the outcome on one trial does not affect the outcome on other trials.