In the full lesson
- Poisson PMF (formula)
- Properties (text)
- Worked Example (example)
- Poisson Approximation (tip)
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Module 3 · Distributions · Topic 5
Poisson Distribution
Poisson Distribution. The Poisson distribution models the number of events occurring in a fixed interval of time or space, when events happen independently at a constant average rate λ.
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Key formulas
From the Distributions formula sheet
- Binomial PMF:
P(X = k) = C(n,k)p^k(1-p)^(n-k)- Exact probability of k successes in n independent Bernoulli trials. - Z-Score:
z = (x - mu) / sigma- Standardizes a value by measuring standard deviations from the mean.
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