# Poisson distribution (percentile) Calculator

## Calculates the percentile from the lower or upper cumulative distribution function of the Poisson distribution.

 cumulative mode lower P upper Q cumulative distribution 0≦P,Q≦1 mean λ λ≧0
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 $\normal Poisson\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,\lambda)={\large\frac{e^{-\lambda}\lambda^x}{\Gamma(x+1)}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,\lambda)={\large\sum_{t=0}^{x}}f(t,\lambda)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,\lambda)={\large\sum_{t=x}^{\infty}}f(t,\lambda)\\$

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