binomial distribution

Noun

binomial distribution (plural binomial distributions)

1. The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.
   • The first two have long histories in statistical theory, the binomial distribution having been discovered by James Bernoulli about 1700 and the Poisson distribution, which is a limiting form of the binomial distribution, by S. D. Poisson in 1837.1979, M. G. Bulmer, Principles of Statistics, Dover, page 81
   • The number of hits by a player in a given number of at-bats can be represented by a binomial distribution where the probability of a hit is the player's "true" batting average.2003, Jim Albert, Teaching Statistics Using Baseball, Mathematical Association of America, page 263