Poisson Distribution Calculator
Result
Poisson Distribution Calculator — free online calculator.
Formula
- Poisson Distribution Calculator calculates its result from Average Rate (λ), Number of Events (k). It uses the formula P(X=k) = (λ^k × e^(−λ)) / k! · μ = σ² = λ. Change any input to recalculate the result instantly.
- The main inputs are Average Rate, Number of Events. Enter them in the units and format shown in the calculator.
- Keep comparable quantities in compatible units whenever the formula combines or compares them.
- Changing any input above recalculates the result with the same calculation engine used by this page.
Example: Poisson Distribution
- Average Rate: 3 λ
- Number of Events: 2 k
Poisson event probability = exp(−λ)λ^k/k!, cumulative distribution from 0 through k; expected value and variance λ; standard deviation √λ.
Sample result: Calculating…
Frequently asked questions
What does the Poisson Distribution calculate?
Poisson Distribution Calculator — free online calculator.
Which values should I enter?
Enter Average Rate, Number of Events using the units and format shown beside each field.
What formula does this calculator use?
The calculator uses the following relationship: P(X=k) = (λ^k × e^(−λ)) / k! · μ = σ² = λ.
Why might my result differ from another source?
Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.
Does the result update automatically?
Yes. Changing an input updates the result using the same calculation engine shown on this page.