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.

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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

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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

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Etymology

Origin of binomial distribution

First recorded in 1910–15

Example Sentences

The closer the underlying binomial distribution is to being symmetrical, the better the estimate that is produced by the 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 find the probability the experiment will have from 35 to 45 successes.

From Textbooks • Nov. 29, 2017

Can this binomial distribution be approximate with a normal distribution?

From Textbooks • Nov. 29, 2017

First, we need to check if the binomial distribution is symmetrical enough to use the normal distribution.

From Textbooks • Nov. 29, 2017