# Poisson Distribution

## The description of Poisson distribution- This article will you to understand the use of Poisson Distribution and how to use Poisson tests in Minitab.

The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or period.

1. Poisson Distribution

What is Poisson Distribution?

The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or period.

This Distribution name has been consider on the name of French Mathematician Simeon Denis Poisson.

Attributes of a Poisson Experiment

A Poisson experiment is a statistical experiment that has the following properties:

1. The experiment results in outcomes that can be classified as successes or failures.

2. The average number of successes (mu) that occurs in a specified region is known.

3. The probability that a success will occur is proportional to the size of the region.

4. The probability that a success will occur in an extremely small region is virtually zero.

Hence, that the specified region could take many forms. For instance, it could be a length, an area, a volume, a period of time, etc.

Meaning of Poisson distribution

A statistical distribution showing the frequency probability of specific events when the average probability of a single occurrence is known. The Poisson distribution is a discrete function.

Use of Poisson distribution

If a mean or average probability of an event happening per unit time/per page/per mile cycled etc., is given, and you are asked to calculate a probability of n events happening in a given time/number of pages/number of miles cycled, then the Poisson Distribution is used.

For more you can use:- stattrek.com/probability-distributions/poisson.aspx

In Six Sigma we have Two types of Sample Poisson Tests

1. 1 Sample poisson rate (Use for Base line Identification and for validation)

2. 2 Sample poisson rate (Use for comparison of rate of occurrence between two samples)

How to use Minitab for these test

Sample poisson rate

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