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Bernoulli process

In probability and statistics, a Bernoulli process or a Bernoulli experiment is a discrete-time stochastic process consisting of finite or infinite sequence of independent random variables X1, X2, X3,..., such that

The two possible values of each Xi are often called "success" and "failure", so that, when expressed as a number, 0 or 1, the value is said to be the number of successes on the ith "trial". The individual success/failure variables Xi are also called Bernoulli trials.

Random variables associated with the Bernoulli process include