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A Poisson distribution is appropriate when you have events that occur

  • independently of one another in space or time,
  • at a constant rate, and
  • occur singly.

The last condition means that the probability of more than one event occurring at any particular point in space or time is zero (or negligible).

However, if the parameter (mean) of the Poisson distribution, L, is greater than 10, you may be better off using the Normal approximation, N(L, L), with the appropriate continuity corrections.

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Q: When to use poisson distribution?
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