The Binomial, Normal, and Poisson Distributions Compared
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The Binomial, Normal, and Poisson Distributions Compared

        

The Binomial, Normal, and Poisson Distributions Compared

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This applet graphs the Poisson and normal approximations to a specified binomial distribution. The user may select the values of n and p to be used.
Material Type: Simulation
Date Added to MERLOT: February 02, 2003
Date Modified in MERLOT: October 21, 2013
Author:
Send email to waldo@waldomaths.com
Submitter: Kurt Cogswell

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Primary Audience: College General Ed
Mobile Compatibility: Not specified at this time
Language: English
Cost Involved: no
Source Code Available: no
Accessiblity Information Available: no
Creative Commons: unsure

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Avatar for Porscha McRobbie
5 years ago

Porscha McRobbie (Staff)

The applet is simple to use and clearly demonstrates the n and p dependence of the binomial distribution. Being able to overlay the corresponding Poisson and normal distributions also provides clear and useful comparisons.

Avatar for Joel Vaughan
6 years ago

Joel Vaughan (Student)

The applet shows the relationships among these distributions well. In order to fully appreciate this, students must be aware of the relationships to begin with.

Avatar for David Childers
6 years ago

David Childers (Student)

Though this applet does provide a good display of the three distributions (binomial, poisson, and normal) on the same graph, the set-up is a bit misleading. Since the normal distribution shifts as the value of 'p' is altered, the user may think that 'p' is a parameter associated with a normal distribution.

Avatar for feifei sun
7 years ago

feifei sun (Student)

This is a very useful toos for Elementary Statistics class because I can do simulation by changing the value of n and p. The same data can present different pictures. It is amazing.

Avatar for Marisella Castro
7 years ago

Marisella Castro (Student)

This applet works well because you can change the n & p values plus see the Binomial, Poisson, & Normal distributions at the same time & on the same graph.

Technical Remarks:

The problem is the font of each axis. The smaller font makes it harder to distinguish between certain numbers like 6 & 8.
Used in course