Statistics & Probability
Poisson Distribution Calculator
Lets users solve and check poisson distribution instantly with formula, steps and examples — no manual math.
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Your result
P(X = k)
10.08%
P(X = 5) = 10.082% for λ = 3.
P(X ≤ k)
91.61%
About this calculator
The Poisson distribution models rare independent events at average rate λ: P(X = k) = λᵏe^(−λ)/k!. Its mean and variance both equal λ.
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