The Poisson distribution can be used to approximate the binomial distribution when the number of trials is greater than 20 and the probability of success is less than or equal to 0.05.

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The Poisson distribution is often used as an approximation to the binomial distribution when the number of trials (n) is large (typically greater than 20) and the probability of success (p) in each trial is small (typically less than or equal to 0.05), making the calculation of binomial probabilities cumbersome.

The Poisson Distribution Can Be Used to Approximate the Binomial