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
- For each i, the value of Xi is either 0 or 1;
- For all values of i, the probability that Xi=1 is the same number p.
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 i
The individual success/failure variables Xi
are also called Bernoulli trials.
Random variables associated with the Bernoulli process include