Poisson Distribution Calculator

How to Use the Poisson Distribution Calculator?

1. First, enter the average rate of success (λ) and a random variable (k).
2. Click the 'Calculate' button to generate Poisson probability results.
3. Finally, the tool shows the individual and cumulative Poisson probabilities for the distribution.

What is Poisson Distribution?

It defines the probability of a given number of events happening within a specific interval of time.

The probability mass function (PMF) of the Poisson distribution is calculated by the following formula:

Where,
λ = Average number of successes or events in a specific time interval,
k = Number of events,
e = Base of the natural logarithm (approximately = 2.71828).