Bernoulli Trial


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Related to Bernoulli Trial: binomial distribution, Geometric distribution

Bernoulli Trial

A test in which there are precisely two random outcomes: success and failure. For example, if one is testing whether flipping a coin will result in heads, the two outcomes are yes (success) and no (failure). See also: Bernoulli's Law.
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Just as before, consider an infinite sequence of Bernoulli trials with probability of success p in every trial.
Therefore, we simulate Bernoulli trials and count the number of failures before the occurrence of the first success.
Consider a fixed number R of replicates of a truncated geometric experiment, each replicate r (1 [less than or equal to] r [less than or equal to] R) consisting of a maximum of T - 1 Bernoulli trials (with success probability [p.
The outcome of each of the T x R Bernoulli trials (all of which have success probability p) was simulated using NAG subroutine G05DZF (Numerical Algorithms Group, 1999), and 20,000 such tables were generated per simulation condition.
Actually, a Poisson distribution is not described by events with two possible outcomes and a constant probability of success as are Bernoulli trials.
Binomial pdf The probability density function that comes from Bernoulli trials.