Poisson Distribution Calculator (Free)
Use this free Poisson distribution calculator to find P(X = k) and the cumulative probabilities for a Poisson process with mean λ, along with the mean, variance, standard deviation, and a bar chart.
The Poisson distribution
It models the number of events in a fixed interval when events happen independently at a constant average rate λ. Its mean and variance are both equal to λ.
Original price was: $109.99.$54.99Current price is: $54.99.
How to use it
- Enter λ (the mean) and k (the count).
- Press Compute.
Related: the Binomial Probability Calculator and more free math calculators.
Frequently asked questions
When do I use a Poisson distribution?
For counts of independent events over a fixed interval — calls per hour, typos per page, and similar.
Original price was: $109.99.$54.99Current price is: $54.99.
What are the mean and variance?
Both equal λ, the average number of events.
Original price was: $109.99.$54.99Current price is: $54.99.
Does it give cumulative probabilities?
Yes — P(X ≤ k), P(X ≥ k), and P(X < k).
Original price was: $27.99.$17.99Current price is: $17.99.
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