The Poisson Probability Distribution

Poisson Probability Distributions

In this section, we examine Poisson Probability Distributions:

• 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:

1. An introduction, properties of Poisson Distributions and how to calculate the probability of exactly [latex]x[/latex] events occurring.
2. How to change lambda ([latex]\lambda[/latex]) when the time interval in the question differs from the one stated for the average.
3. How to calculate the probability of at least, at most or more than [latex]x[/latex] events occurring during a time interval.
4. How to calculate the mean and standard deviation for Poisson distributions.