Probability

Poisson Distribution

Compute P(X=k) = λᵏe⁻λ/k! for rare events with rate λ. Includes CDF, mean = λ, variance = λ, and PMF chart.

Live Calculator · Step-by-Step · Probability
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Result
Result
Enter values and calculate.
P(X = k)
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P(X ≤ k)
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P(X ≥ k)
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Mean μ = λ
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Variance σ² = λ
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SD σ = √λ
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Step-by-Step Work

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Poisson PMF — P(X = k)