# Poisson distribution (chart) Calculator

## Calculates a table of the probability mass function, or lower or upper cumulative distribution function of the Poisson distribution, and draws the chart.

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

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