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

The distribution gets its name from Simeon Poisson who presented it in 1837 as an extension of the binomial distribution which we will see can be estimated with the Poisson.

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

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 45 successes.

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