Poisson Distributions

Poisson Probability Distributions

In this section, we examine Poisson Probability Distributions:

Graphs of Poisson Distribution for an average of 2, 7, and 12
Graphs of poisson distributions for different averages (λ)
  • 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.

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An Introduction to Business Statistics for Analytics (1st Edition) Copyright © 2024 by Amy Goldlist; Charles Chan; Leslie Major; Michael Johnson is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License, except where otherwise noted.

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