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 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

This way of thinking about the Poisson helps us understand why it can be used to estimate the probability for the discrete random variable from the binomial distribution.

From Textbooks ● Nov. 29, 2017

Figure 6.11 shows a symmetrical normal distribution transposed on a graph of a binomial distribution where p = 0.2 and n = 5.

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