binomial distribution

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

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

binomial distribution

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

Word History and Origins

Origin of binomial distribution¹

First recorded in 1910–15

Example Sentences

The duplication process was represented by a binomial distribution where each duplication could have either been retained or not.

From Nature

But if you repeat that activity many times, the laws of probability—or more specifically, a formula called the “binomial distribution”—will eventually catch up with you.

From Forbes

“We can check this by means of binomial distribution.”

From Washington Post

As the number of tickets sold goes up, the chance that more than one person will share in the jackpot does as well, according to a well-known mathematical function called a binomial distribution.

From Scientific American

We’ll arrange these numbers according to a stratified sampling design, fit a negative binomial distribution to those numbers, maximize some likelihood functions and compare some Akaike’s Information Criterion values.

From New York Times