Question

Determine if the following probability experiment represents a binomial experiment. If​ not, explain why. If the probability experiment is a binomial​ experiment, state the number of​ trials, n. Four cards are selected from a standard​ 52-card deck without replacement. The number of fives selected is recorded.

Answer 1

The probability experiment does not represent a bonimial experiment.

Explanation:

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.

As the experiments is without replacement, the probability of picking a 5-card is not the same on every trial.