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Poisson Distribution Function

JavaScript

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      Enter Poisson Distribution Arguments

          x-value: 
           lambda: 

Poisson P(X<=x) :

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If items arrive at times 0< t₁ < t₂ < ... such that the interarrival times,
t₁, t₂-t₁, t₃-t₂, ... are independent with exponential distributions, E(1),
then the number of arrivals that occur in the time interval (0,lambda)
has the Poisson distribution, P(lambda). This distribution has mean
lambda, variance lambda, and probability mass function,

f(x | lambda) = e^-lambda lambda^x/x! for x = 0,1,2,...

For the distribution function, we have as an example,
P(x<=1) = 1/e + 1/e = .73576