Mathlean · Online math workspace

Poisson distribution calculator

Calculate Poisson count probabilities for a specified rate.

How to use this calculator

Edit PDF(PoissonDistribution(rate),count), or use CDF for cumulative probability.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PDF⁡(PoissonDistribution⁡(2),3)\operatorname{PDF}\left(\operatorname{PoissonDistribution}\left(2\right),3\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

The rate must be nonnegative and the count an integer. The model's equal mean/variance assumption may not fit real data.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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