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Study of the binomial distribution
written by
Kostas Papamichalis
This simulation 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.
Last Modified November 15, 2025
Binomial Distribution Theory
Description of the stochastic model which describes a sequence of K random experiments (trials) on a system (ensemble) of ? identical and stochastic independent cells.
Last Modified November 15, 2025
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Binomial Distribution Source Code
WEb EJS source code for the binomial distribution study.
Last Modified November 15, 2025