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Poisson Distribution Probability Calculator

The Poisson distribution is a popular discrete probability distribution in statistics and probability theory that expresses the probability of an event occurring a specific number of times in a specified period or space, given that the mean rate is known and that the events occurring are independent of each other.

This calculator finds Poisson probabilities associated with a provided mean rate (λ) and a value for a random variable (𝑥). Enter the values for the average rate of success and the random variable, then click the Calculate button.

P(X = ):

P(X < ):

P(X ≤ ):

P(X > ):

P(X ≥ ):