The hypergeometric probability distribution is used rather than the binomial distribution when the sampling is performed:
A) with replacement from a finite population
B) without replacement from a finite population of size N and that size N is small in relation to the sample size n namely, n / N.05
C) without replacement from an infinite population
D) with replacement from an infinite population

Question

Quizplus · Accepted Answer

The hypergeometric probability distribution is used when sampling is performed without replacement from a finite population. In this case, the probability of success in each trial is not constant and depends on the outcomes of previous trials. The binomial distribution, on the other hand, assumes sampling with replacement or large finite population size, where the probability of success is constant for each trial. Option B states that the population size N is small in relation to the sample size n, indicating that hypergeometric distribution is the appropriate choice.

The Hypergeometric Probability Distribution Is Used Rather Than the Binomial