A hypergeometric random variable x has a distribution that is approximated by a binomial distribution when
A) the number of successes is larger than the number of failures in the population.
B) a sample is selected from the population without replacement.
C) the population is much larger than the sample size.
D) the sample size is half the size of the original population.

Question

Quizplus · Accepted Answer

When the population is much larger than the sample size, the difference between sampling with and without replacement becomes negligible, allowing the hypergeometric distribution to be approximated by a binomial distribution.

A Hypergeometric Random Variable X Has a Distribution That Is