Which one of these variables is a binomial random variable? A. time it takes a randomly selected student to complete a multiple choice exam B. number of women taller than 68 inches in a random sample of 5 women C. number of CDs a randomly selected person owns D. number of textbooks a randomly selected student bought this term

The correct option is (B).

Step-by-step explanation:

A Binomial experiment has the following properties:

There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).

If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.

Consider the random variable:

X = number of women taller than 68 inches in a random sample of 5 women

The number of trials is fixed, i. e. n = 5. The heights of each women is independent of others. The trials have only two outcomes: women taller than 68 inches and women not taller than 68 inches. Each trial has the same probability of success, P (women taller than 68 inches)

Thus, the random variable, number of women taller than 68 inches in a random sample of 5 women is a binomial random variable ...

Thus, the correct option is (B).