What is Poisson distribution and when is it used?

Updated May 17, 2026

Short answer

Poisson distribution models number of events in a fixed interval of time or space.

Deep explanation

It assumes events occur independently with constant average rate λ. It is widely used for rare event modeling.

Real-world example

Number of customer arrivals per minute.

Common mistakes

  • Confusing Poisson with binomial in small samples.

Follow-up questions

  • What is lambda in Poisson?
  • When does Poisson approximate binomial?

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