1.1.2 Poisson Distribution

Let X be a discrete random variable which can take on the values 0, 1, 2, ... such that the probability that X has the value x is given by:

P(X=x) = u^xe^-u/x!

where:

mean u

variance u²

standard deviation u^1/2

Example for u=0.2

x P(X=x)

0 0.818731

1 0.163746

2 0.0163746

3 0.00109164

4 5.45821e-05

5 2.18328e-06

6 7.27761e-08

7 2.07932e-09

8 5.19829e-11