Which of these random variables has a binomial model?
A) The number of books we select out of a pile of 9 books that are non-fiction.
B) none of these
C) The number of times a free throw is shot until one shot is made.
D) The number of girls a family has out of the three children they will have.
E) The number of children a family has until they have two boys.

Question

Quizplus · Accepted Answer

Option D represents a binomial model because it involves a fixed number of trials (three children), each trial has only two possible outcomes (girl or boy), the probability of each outcome remains constant, and each trial is independent of the others.

Which of These Random Variables Has a Binomial Model