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binomial distribution

American  

noun

Statistics.

  1. a 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.

binomial distribution British  

noun

  1. 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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
binomial distribution Scientific  

  1. The frequency distribution of the probability of a specified number of successes in an arbitrary number of repeated independent Bernoulli trials.

  2. Also called Bernoulli distribution

Etymology

Origin of binomial distribution

First recorded in 1910–15

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

Can this binomial distribution be approximate with a normal distribution?

From Textbooks • Nov. 29, 2017

Use the normal distribution to approximate the binomial distribution, and find the probability the experiment will have at most 34 successes.

From Textbooks • Nov. 29, 2017

Can this binomial distribution be approximated with a normal distribution?

From Textbooks • Nov. 29, 2017

Below the binomial distribution is a normal distribution to be used to estimate this probability.

From Textbooks • Nov. 29, 2017

Use the normal distribution to approximate the binomial distribution, and determine the probability a box containing 35 oranges has at most two oranges that are not ripe.

From Textbooks • Nov. 29, 2017

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.