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Input:

Poisson distribution | mean | mu  (positive)


Statistical properties:

mean | mu\nstandard deviation | sqrt(mu)\nvariance | mu\nskewness | 1\/sqrt(mu)\nkurtosis | 1\/mu + 3


Probability density function (PDF):

P (X = x) = piecewise | (e^(-mu) mu^x)\/(x!) | x>=0\n0 | (otherwise)


Cumulative distribution function (CDF):

P (X<=x) = piecewise | Q(floor(x) + 1, mu) | x>=0\n0 | (otherwise)

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