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Poisson Probability Calculator

Compute P(X=k) for a Poisson distribution.

Input Data

Input Rate λ.
Input Count k.

Results

0.146525
P(X=k) = e^(−λ) λ^k / k!.

At a glance:Poisson Probability Calculator: enter parameters to compute results; complements related calculators.

Formula

P(X=k) = e^(−λ) · λ^k / k!.

How to Use

  1. Enter rate λ and count k.
  2. It returns the point probability.

Case Studies

λ=4, k=2 → P≈0.14653

e^(−4)·16/2 ≈ 0.14653.

FAQ

When is Poisson appropriate?

Independent events at a constant average rate per interval, e.g. arrivals.

Related Tools

References

Content review: Calculatorism Science Team. Formula and numeric tests verified; results for reference only.

Found a problem with the results?

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