In the above definition *P*(*X*=*x*) is called Poisson probability function and the corresponding Poisson distribution is

X | 0 | 1 | 2 | … | x | … |

P(X=x) | $\frac{{\lambda}^{0}{e}^{-x}}{0!}$ | $\frac{{\lambda}^{1}{e}^{-x}}{1!}$ | $\frac{{\lambda}^{2}{e}^{-x}}{2!}$ | …. | $\frac{{\lambda}^{x}{e}^{-x}}{x!}$ | … |

If an experiment satisfying the requirements of Poisson ...

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