Bernoulli2Gauss 1.0 a simple test for statistical distributions
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Bernoulli2Gauss is a simple Applet that shows falling pixels following the Bernoulli distribution rule.
Applet Installation
Simply upload the file Bernoulli2Gauss1.zip to your site and put these HTML tags in your page:
<APPLET CODE=Bernoulli2Gauss.class
ARCHIVE=Bernoulli2Gauss1.zip WIDTH=201 HEIGHT=300>
</APPLET>
Review
This Applet shows some undecided pixels. They don't know if it's better to go to the right or to the left. The total effect is an approximation of the famous Gaussian Curve.
Among the most important statistic distribution there are the Bernoulli (or Binomial) Distribution and the Gaussian Distribution.
We have the first one when an event has a given probability p to happen and we ask how many times we have k successes on n trials. So the Binomial is a function of k, given n and p.
The Gaussian Distribution can be obtained as a limit from the Binomial when n reaches infinity and the standard deviation s is given by the square root of np(1-p).
For the pixels the trials n are 150 and p = 1/2 so s ~ 6. But n doesn't reach infinity and so the obtained curve if quite approximative, as you can see.
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