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Glossary Math & Statistics

Poisson distribution

The Poisson distribution gives the probability of a number of events in a fixed interval when events occur independently at a constant average rate.

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In more detail

P(X = k) = e^−λ × λ^k / k!. With an average of 3 events per interval, exactly 2 occur with probability 0.2240. It models arrivals such as calls per hour or typos per page.

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Poisson Distribution Calculator

Enter the average rate λ and a count k to get P(X = k), P(X ≤ k), P(X ≥ k), range probabilities, the mean.

See also

  • Glossary Binomial distribution
    The binomial distribution gives the probability of a number of successes in a fixed number of independent yes/no trials with the same.
  • Glossary Probability
    Probability is a number from 0 (impossible) to 1 (certain) that measures how likely an event is.
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