Changes

*Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is <math>\mu</math>.  

*Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is <math>\mu</math>.  

*Then, the Poisson probability is:

*Then, the Poisson probability is:

<math>P(x;\mu) = \frac{(e-\mu) (\mu x)}{ x!}</math>

<math>P(x;\mu) = \frac{(e^{-\mu}) (\mu x)}{ x!}</math>

*where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828.

*where x is the actual number of successes that result from the experiment, and e is approximately equal to 2.71828.

*The Poisson distribution has the following properties:

*The Poisson distribution has the following properties: