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 > General Birthday Experiment
The general birthday experiment is to draw a random sample of n balls with replacement from a population of N balls, numbered from 1 to N. We are interested in the random variable V that gives the number of distinct values in the sample. On each update, the sample of balls is shown in the first graph; a ball that duplicates a previously chosen ball is shown in red, and otherwise is shown in green. Thus, the value of V is the number of green balls; this value is recorded on each update in the first table. The density function and moments of V are shown in blue in the distribution graph and are recorded in the distribution table. On each update, the empirical density and moments of V are shown in red in the distribution graph and are recorded in the distribution table. The parameters N and n can be varied with scroll bars.
This applet illustrates the topics and concepts in the list below. Click on the links to learn more about the mathematical theory.
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.GeneralBirthdayExperiment.class"
archive="GeneralBirthdayExperiment.jar" width="550" 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 GeneralBirthdayExperiment in the Object section of the Library.