As a rule of thumb, the binomial distribution can be used to approximate the hypergeometric distribution whenever the population is at least 20 times as large as the sample.

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This is a commonly used approximation rule in statistics. When the population is much larger than the sample, using a binomial distribution instead of a hypergeometric distribution can simplify calculations without significantly affecting the accuracy of the results.

As a Rule of Thumb, the Binomial Distribution Can Be