# Poisson distribution Calculator

## Calculates the probability mass function and lower and upper distribution functions of the Poisson distribution.

 percentile x x=0,1,2,... mean λ λ≧0
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 $\normal Poisson\ distribution\\[10](1)\ probability\ mass\\\hspace{30}f(x,\lambda)={\large\frac{e^{-\lambda}\lambda^x}{\Gamma(x+1)}}\\(2)\ lower\ cumulative\ distribution\\\hspace{30}P(x,\lambda)={\large\sum_{t=0}^{x}}f(t,\lambda)\\(3)\ upper\ cumulative\ distribution\\\hspace{30}Q(x,\lambda)={\large\sum_{t=x}^{\infty}}f(t,\lambda)\\$
Poisson distribution
 [1-6] /6 Disp-Num5103050100200
[1]  2018/09/20 22:05   Male / 50 years old level / An office worker / A public employee / Useful /
Purpose of use
Checking the probability of events in a time period.
[2]  2018/02/10 05:19   Male / 40 years old level / A teacher / A researcher / Useful /
Purpose of use
Understand Poisson parameter roughly. Estimate if given problem is indeed approximately Poisson-distributed.
Comment/Request
I was expecting not only chart visualization but a numeric table. The FAQ may solve this. However my problem appears to be not Poisson but some relative of it, with a random parameterization. I fear the characterization might be above my pay grade. Some similarity to Zipf distribution is possible .. in Zipf, each entry n = 1,2,3.. has frequency f(n) and log(n) is reversely proportional to log(f(n)) -- approximately.
[3]  2018/01/18 00:32   Male / 40 years old level / An engineer / Very /
Purpose of use
I doing reseach on correllation between Poisso probability values ( x = 1,2,3,...) and certaint Trigonemetry quanty values and geometry of a line using principle of moment in Physics
[4]  2017/12/29 03:28   Male / 30 years old level / Self-employed people / Useful /
Purpose of use
Checking my math
[5]  2017/09/21 02:32   Female / 40 years old level / An office worker / A public employee / A little /
Purpose of use
wanted to know how to program my calculator to get the results
[6]  2014/05/09 19:04   Male / 30 years old level / An engineer / Very /
Purpose of use
want to know.....

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