If sampling is performed without replacement, the hypergeometric distribution should be used.However, the binomial may be used to approximate this if _______. A)n 5%N B)n

Question

If sampling is performed without replacement, the hypergeometric distribution should be used.However, the binomial may be used to approximate this if _______.
A)n > 5%N
B)n < 5%N
C)the population size is very small
D)there are more than two possible outcomes of each trial
E)the outcomes are continuous

Quizplus · Accepted Answer

The binomial distribution can approximate the hypergeometric distribution if the sample size n is less than 5% of the total population size N. This condition ensures that the probability of success does not change significantly from trial to trial, making the binomial approximation reasonable.

If Sampling Is Performed Without Replacement, the Hypergeometric Distribution Should