Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.Object Library > Applets > Binomial Coin Experiment
The experiment consists of tossing n coins, each with probability of heads p. The number of heads X and the proportion of heads M are recorded on each update. Either X or M can be selected with the list box. The discrete probability density function and moments of the selected variable are shown in blue in the distribution graph blue and are recorded in the distribution table. On each update, the empirical probability density function 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 experiment illustrates Bernoulli trials, the binomial distribution, the law of large numbers, and the central limit theorem. The underlying physical model is conceptually simple, and so more generally, the experiment is useful for illustrating a random experiment, random variables, discrete distributions, mean, and variance. For more information on the mathematical analysis, see
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.BinomialCoinExperiment.class"
archive="BinomialCoinExperiment.jar" width="600" height="350"></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.
Support for the
Java 2 runtime environment (version 1.4 or later). Click on the icon to download the appropriate
plug-in.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.
If you are interested in the Java source code or the Java documentation and object model for this applet, please visit BinomialCoinExperiment in the Object section of the Library.