The number of female customers out of a random sample of 100 customers arriving at a department store has a binomial distribution.

Question

Quizplus · Accepted Answer

A binomial distribution can be used to model the number of successes in a fixed number of independent trials with two possible outcomes (success or failure) and a constant probability of success. In this case, the number of female customers out of a sample of 100 has two possible outcomes (female or not female) and assuming that the customers are selected independently, the probability of a customer being female would remain constant. Therefore, a binomial distribution is appropriate.

The Number of Female Customers Out of a Random Sample