Statistics › Section D · Discrete random variables › Topic D.6

The Poisson distribution

How many emails land in an hour, typos hide in a chapter, customers arrive in a minute? Counts of events in a fixed window, with no natural upper limit, follow the Poisson distribution - the model of rare happenings at a known rate.

In this topic

  • Counting events per interval
  • The Poisson setting
  • The formula
  • Mean equals variance
  • Worked example: calls at a hotline
  • Worked example: typos in a chapter
  • Scaling λ to the interval
  • The binomial connection
  • Common mistakes to avoid
  • Key takeaways

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