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