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**Answer**

## Poisson PMF

A discrete random Variable $x$ is said to have a Poisson Distribution, with parameter $\lambda >0$ if it has a PMF (Probability Mass Function) given by;

$Pr(X=k)=\frac{{\lambda}^{k}{e}^{-\lambda}}{k!}$

where

$e$ is the Euler's number

*k *is the number of occurrences

$\lambda $ is the expected value of X and also the variance (It is a positive real number)

Thus the **Poisson PMF** is given by;

$Pr(X=k)=\frac{{\lambda}^{k}{e}^{-\lambda}}{k!}$

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