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Binomial Distribution Study
written by Kostas Papamichalis
This simulatation shows a stochastic model which describes a sequence of K random experiments (trials) on a system (ensemble) of identical and stochastic independent cells. In every random experiment, each cell of the ensemble can take one of two possible states H or L, with probabilities p and q=1-p respectively. The state obtained by each cell is independent of the previous states of this cell and of the states acquired by any other cell. This simulations shows that the states of the ensemble in the sequence of the random experiments are described by the binomial distribution which, under some specific conditions is approximated by a Poisson distribution.

The user can implement random experiments on an ensemble of N cells which fulfill the specifications of the theoretical model. The program displays the results of the random-experiments sequence and the predictions of the corresponding stochastic model as well. The user is prompted to compare the experimental results with the theoretical predictions, by running the simulation for many different values of the disposed parameters, aiming at evaluating both, the model and the virtual environment as well.
1 supplemental document is available
1 source code document is available
Subjects Levels Resource Types
Mathematical Tools
- Probability
- Lower Undergraduate
- Upper Undergraduate
- Instructional Material
= Interactive Simulation
Intended Users Formats Ratings
- Learners
- text/html
- application/javascript
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https://users.sch.gr/kostaspapami…
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This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Kostas Papamichalis
Record Creator:
Metadata instance created September 14, 2025 by kostas papamichalis
Record Updated:
November 15, 2025 by Wolfgang Christian
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K. Papamichalis, (2025), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125).
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K. Papamichalis, Binomial Distribution Study (2025), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125>.
APA Format
Papamichalis, K. (2025). Binomial Distribution Study. Retrieved December 6, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125
Chicago Format
Papamichalis, Kostas. Binomial Distribution Study. 2025. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125 (accessed 6 December 2025).
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Papamichalis, Kostas. Binomial Distribution Study. 2025. 6 Dec. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125>.
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@misc{ Author = "Kostas Papamichalis", Title = {Binomial Distribution Study}, Volume = {2025}, Number = {6 December 2025}, Year = {2025} }
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%A Kostas Papamichalis %T Binomial Distribution Study %D 2025 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125 %O text/html

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%0 Electronic Source %A Papamichalis, Kostas %D 2025 %T Binomial Distribution Study %V 2025 %N 6 December 2025 %9 text/html %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17099&DocID=6125


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Binomial Distribution Study:

Is Based On Easy Java Simulations Modeling and Authoring Tool

Use the Easy Java Simulations Modeling and Authoring Tool to edit and to explore the source code for the Study of the binomial distribution.

relation by Wolfgang Christian

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