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 > Die Coin Experiment
The die coin experiment consists of rolling a die and then tossing a coin the number of times shown on the die. The die score N and the number of heads X are recorded on each update. The density function and moments of X are shown in the blue in the second graph and are recorded in the second table. On each update, the empirical density and moments of X are shown in red in the second graph and are recorded in the second table.
The probability of heads p for the coin can be varied with a scroll bar. You can specify the die distribution by clicking on the die probability button; this button bring up the die probability dialog box. You can define your own distribution by typing probabilities into the text fields of the dialog box, or you can click on one of the buttons in the dialog box to specify one of the following special distributions:
This experiment illustrates a simple two-stage experiment and is useful for exercises involving conditional probability and Bayes' theorem. The experiment also illustrates standard random model (Bernoulli trials) and a standard distribution (the binomial distribution) in which a parameter (the number of trials) is randomized. For a more detailed 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.DieCoinExperiment.class"
archive="DieCoinExperiment.jar" width="500" 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.
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 DieCoinExperiment in the Object section of the Library.