Skip to content

Latest commit

 

History

History
29 lines (13 loc) · 1.33 KB

README.md

File metadata and controls

29 lines (13 loc) · 1.33 KB
Raw

Poisson

A Poisson based simulation and visualization collection of programs using python

This program simulates and visualizes a Poisson distribution based on user-defined parameters. The Poisson distribution is a probability distribution that models the number of events occurring in a fixed interval of time or space, given a known average rate of occurrence.

The following are the key criteria that the random variable follows the Poisson distribution:

  • Individual events occur at random and independently in a given interval. This can be an interval of time or space.

  • The mean number of occurrences of events in an interval (time or space) is finite and known. The mean number of occurrences is represented using [latex]\lambda[/latex]

The probability mass function (PMF) of the Poisson distribution is given by:

PMF

Example

In this program we are given a series of questions based on mean of the distribution and the range

For this example we are able to provide a mean of 7 with a range of 0 to 17

The output is provided in the figure below:

figure1