Main Page | See live article | Alphabetical index 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 ith "trial". The individual success/failure variables Xi are also called Bernoulli trials. Random variables associated with the Bernoulli process include The number of successes in the first n trials; this has a binomial distribution; The number of trials needed to get r successes; this has a negative binomial distribution. The number of trials needed to get one success; this has a geometric distribution, which is a special case of the negative binomial distribution. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.