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:

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: