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

See Examples For:

binomial distribution

Figure 6.11 below shows the binomial distribution and marks the area we wish to know.

From Textbooks ● Nov. 29, 2017

Use the normal distribution to approximate the binomial distribution, and find the probability the experiment will have at least 22 successes.

From Textbooks ● Nov. 29, 2017

The binomial distribution is thus seen as coming from the one- parameter family of probability distributions.

From Textbooks ● Nov. 29, 2017

The binomial distribution approaches the Poisson distribution is as n gets larger and p is small such that np becomes a constant value.

From Textbooks ● Nov. 29, 2017

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