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

Question

Quizplus · Accepted Answer

A binomial model is appropriate for a fixed number of independent trials, each with two possible outcomes (success or failure). Choice B fits this as it involves a fixed number of trials (three children) with two outcomes (girl or not a girl).

Which of These Random Variables Has a Binomial Model