The Poisson probability distribution provides good approximations to binomial probabilities when n is large and is small, preferably with np

Name: The Poisson probability distribution provides good approximations to binomial probabilities when n is large and is small, preferably with np < 7.
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Question

The Poisson probability distribution provides good approximations to binomial probabilities when n is large and  is small, preferably with np < 7.

Quizplus · Accepted Answer

This is a well-known fact in probability theory. When n is large and 11eb6b9e_0668_fa68_8d9d_fb4dd19ec637_TB8220_11 is small, the binomial distribution can be approximated by the Poisson distribution with λ=np.

The Poisson Probability Distribution Provides Good Approximations to Binomial Probabilities