binomial distribution


Definition of binomial distribution

: a probability function each of whose values gives the probability that an outcome with constant probability of occurrence in a statistical experiment will occur a given number of times in a succession of repetitions of the experiment

Examples of binomial distribution in a Sentence

Recent Examples on the Web The expected number of marbles collected in each bottom bin from left to right after all possible paths are traversed once is given by the binomial distribution. Quanta Magazine, "How Randomness Can Arise From Determinism," 14 Oct. 2019 The Poisson distribution is an easy approximation of the binomial distribution that’s useful when the time interval of interest is a small fraction of the half-life — instances in which binomial calculations quickly become intractable. Quanta Magazine, "Solution: ‘How Many Half-Lives?’," 27 Jan. 2017 However, in the case of our question, the decay time is very short — on the order of the observation time — and therefore the binomial distribution, which is more accurate, should be used. Quanta Magazine, "Solution: ‘How Many Half-Lives?’," 27 Jan. 2017 In our case, the clever trick is to realize that the binomial distribution converges to the Gaussian or normal distribution pretty rapidly as the number of trials gets large. Quanta Magazine, "Solution: ‘The Road Less Traveled’," 25 Sep. 2015 People can have more than four friends, and having a lot of friends isn’t as unusual as the binomial distribution suggests. Quanta Magazine, "How Network Math Can Help You Make Friends," 20 Aug. 2018 Peter is occupied with graphs of binomial distributions as well as various odds related to a potential second book deal. Hermione Hoby, New York Times, "Mining the Madness of Pure Logic in Stories That Dazzle and Discomfit," 1 June 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'binomial distribution.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of binomial distribution

1895, in the meaning defined above

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The first known use of binomial distribution was in 1895

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Cite this Entry

“Binomial distribution.” Dictionary, Merriam-Webster, Accessed 4 Jul. 2020.

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