## Sunday, 27 October 2013

### Poisson Distribution CDF and Quantile Calculator

An implementation of the Poisson Distribution CDF and Quantile function Calculator occurs below. The Poisson Distribution is a Probability Mass Function as it describes the distribution of discrete random variables, which are integers from 0 upwards i.e. positive integers. For parameter $\lambda$ (a real number greater greater than 0) the Poisson distribution function is:-

$\Large \frac{\lambda^k}{k!}e^{-\lambda}$

where integer $k\geq 0$. The $\lambda$ field needs to be filled in, as well as one out of the two fields which are labelled Upper Limit and Probability. The upper limit field needs to contain an integer number greater than or equal to 0. The probability field must contain a number between 0 and 1 only.

 $\lambda$:

 Upper limit: Probablility:

 Plot of distribution ($f(x)$) values against $x$ values $f(x)$ $x$