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binomial distribution
binomial distributionn. The frequency distribution of the probability of a specified number of successes in an arbitrary number of repeated independent Bernoulli trials. Also called Bernoulli distribution.binomial distribution n (Statistics) a statistical distribution giving the probability of obtaining a specified number of successes in a specified number of independent trials of an experiment with a constant probability of success in each. Symbol: Bi (n, p), where n is the number of trials and p the probability of success in each bino′mial distribu′tion n. a statistical distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial. [1910–15] ThesaurusNoun | 1. | binomial distribution - a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of successBernoulli distributiondistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrencestatistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters |
binomial distribution
binomial distribution[bī′nō·mē·əl ‚dis·trə′byü·shən] (statistics) The distribution of a binomial random variable; the distribution (n,p) is given by P (B = r) = (nr) prqn-r, p + q = 1. Also known as Bernoulli distribution. binomial distribution
bi·no·mi·al dis·tri·bu·tion1. a probability distribution associated with two mutually exclusive outcomes, for example, presence or absence of a clinical sign. 2. the possible array of the number of successes in the outcomes from a fixed number, n, of independent Bernoulli trials; the probabilities associated with each constitute a binomial process of order n. binomial distribution The outcomes of a binomial experiment with their corresponding discrete probability distribution.Ber·noul·li dis·tri·bu·tion (ber-nū'lē dis'tri-byū'shŭn) Probability distribution that describes likelihood of various combinations of two alternate outcomes in a series of independent trials. Synonym(s): binomial distribution. [Jakob Bernoulli, 1654-1705, Swiss mathematician]LegalSeedistributionBinomial Distribution
Binomial DistributionThe distribution of successes and failures of a certain number of Bernoulli trials. A Bernoulli trial is 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) or no (failure). A binomial distribution, then, would be the number of heads compared to the number of tails in a given number of flips. It is also called a Bernoulli distribution.FinancialSeeb/dbinomial distribution Related to binomial distribution: Poisson distribution, normal distributionSynonyms for binomial distributionnoun a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of successSynonymsRelated Words- distribution
- statistical distribution
- statistics
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