The Poisson distribution calculator determines the Poisson probabilities based on the average rate of success and a random variable.
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:
P(X = k) = 

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).