Refer to "See Also" column to the right.

A probability distribution that applies to experiments involving sequences of independent trials in which only two possible outcomes (e.g., success or failure) can result on each trial. If p is the pr [..]

A distribution of outcomes of independent events with two mutually exclusive possible outcomes, a fixed number of trials, and a constant probability of success. This is a discrete probability distribu [..]

A random variable has a binomial distribution (with parameters n and p) if it is the number of "successes" in a fixed number n of independent random trials, all of which have the sam [..]

In probability, a binomial distribution gives the probabilities of k outcomes A (or n - ⁢ k outcomes B ) in n independent trials for a two-outcome experiment in which the possible o [..]

n. in statistics and probability theory, refers to the distribution of the number of successes drawn from a sequence of independent trials (n), each yielding success at probability (p). A success/fail [..]

Distribution of number of successes in a sequence of independent trials each with only 2 outcomes of success or failure.

If n

The Probability distribution associated with two mutually exclusive outcomes; used to model cumulative Incidence rates and Prevalence rates. The Bernoulli distribution is a special case of binomial di [..]

The probability distribution associated with two mutually exclusive outcomes; used to model cumulative incidence rates and prevalence rates. The Bernoulli distribution is a special case of binomial di [..]

The probability distribution of the number of successes out of n independent Bernoulli trials, where each trial has the same probability of success.

(statistics) 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.

The binomial distribution (the term first used by Yule, 1911) is defined as: