The Poisson Probability Distribution
Poisson Probability Distributions
In this section, we examine Poisson Probability Distributions:
![https://www.wolframalpha.com/input?i=graph+poisson+distribution Graphs of Poisson Distribution for an average of 2, 7, and 12](https://pressbooks.bccampus.ca/1130sandbox/wp-content/uploads/sites/2128/2023/12/Poisson_Graphs.jpg)
- They are continuous distributions
- They measure the probability of a certain number, [latex]x[/latex], events occurring over a certain time period
The sections are organized as follows:
- An introduction, properties of Poisson Distributions and how to calculate the probability of exactly [latex]x[/latex] events occurring.
- How to change lambda ([latex]\lambda[/latex]) when the time interval in the question differs from the one stated for the average.
- How to calculate the probability of at least, at most or more than [latex]x[/latex] events occurring during a time interval.
- How to calculate the mean and standard deviation for Poisson distributions.