Binomial Distribution

In probability theory and statistics, the binomial distribution is the discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p. Such a success/failure experiment is also called a Bernoulli experiment or Bernoulli trial. In fact, when n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.
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Noun
1. a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success
(synonym) Bernoulli distribution
(hypernym) distribution, statistical distribution
(classification) statistics

The binomial distribution (the term first used by Yule, 1911) is defined as:
f(x) = [n!/(x!*(n-x)!)] * px * qn-x
for x = 0, 1, 2, ..., n
where
p is the probability of success at each trial
q is equal to 1-p
n is the number of independent trials

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Eng: binomial distribution
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