Object Library > Applets > Galton Board Experiment

Galton Board Experiment


Description and Use

The Galton board experiment consists of performing n Bernoulli trials with probability of success p. The trial outcome are represented graphically as a path in the Galton board: success corresponds to a bounce to the right and failure to a bounce to the left. The number of heads X and the proportion of heads M are recorded on each update. Graphically, X is the number of the peg in the last row of the Galton board that the ball hits. Either X or M can be selected with the list box; the distribution and moments of the selected variable are shown in blue in the distribution graph and are recorded in the distribution table. When the simulation runs, the empirical density and moments of the selected variable are shown in red in the distribution graph and are recorded in the distribution table. The parameters n and p can be varied with scroll bars.

This applet illustrates the following topics and concepts:

Instructions for Downloading and Installing

Click on the link below to download the Java archive file:

To add the applet to your web page, insert the following in the html file, at the point where you want the applet to appear:

<applet code="edu.uah.math.experiments.GaltonBoardExperiment.class" archive="GaltonBoardExperiment.jar" width="600" height="400"></applet>

The jar file and the html file must be in the same folder.

This width and height dimensions are simply suggestions and can be varied. Generally, components such as graphs and tables expand and contract proportionally, while components such as buttons, scrollbars, dice, and coins are fixed in size.


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Copyright

Copyright © 2001-2003 Kyle Siegrist, Dawn Duehring

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but without any warranty; without even the implied warranty of merchantability or fitness for a particular purpose. See the GNU General Public License for more details.

Related Resources

If you are interested in the Java source code or the Java documentation and object model for this applet, please visit GaltonBoardExperiment in the Object section of the Library.