Which of the following is an example of a binomial random variable?
A) The number of games your favorite baseball team will win this coming season.
B) The number of questions you would get correct on a multiple-choice test if you randomly guessed on all questions.
C) The number of siblings a randomly selected student has.
D) The number of coins a randomly selected student is carrying.

Question

Quizplus · Accepted Answer

A binomial random variable is defined by two outcomes (success or failure) for each trial, a fixed number of trials, and a constant probability of success on each trial. Choice B fits this definition because each question on a multiple-choice test has a fixed probability of being answered correctly if guessed randomly, and the number of questions is fixed, making it a binomial scenario. Choices A, C, and D do not necessarily have only two outcomes or a fixed probability of success, which is required for a binomial distribution.

Which of the Following Is an Example of a Binomial