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Binomial distribution
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If the outcome of a measurement (trial) is either success or failure and the probability of success (true) or failure (false) does not change from one trial to the next (independent trials), then the  probability of repeated trials is given by the Binomial Distribution.

where p is the probability of observing a particular outcome (success) and P(r) is the probability of observing r successes in n tries.

To explore some examples of the binomial distribution, click on one of the following:

Tossing a coin
Tossing n coins
Throwing a die
Throwing n dice

mean Average number of successes 
        <r>= np

variance = np(1-p) 

 

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