Binomial Distribution

Binomial Distribution
A probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success and that each trial is mutually exclusive.

A binomial distribution summarizes the number of trials, or observations, when each trial has the same probability of attaining one particular value.

For example, flipping a coin would create a binomial distribution. This is because each trial can only take one of two values (heads or tails), each success has the same probability (i.e. the probability of flipping a head is 0.50) and the results of one trial will not influence the results of another.


Investment dictionary. . 2012.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Binomial distribution — binomial distribution …   Dictionary of sociology

  • binomial distribution — n. Statistics the distribution of the probability of a specified number of successes in a given number of independent trials, in each of which the probability of success is the same …   English World dictionary

  • Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …   Wikipedia

  • binomial distribution — Statistics. 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. Also called Bernoulli distribution.… …   Universalium

  • binomial distribution — A probability distribution for the occurrence of a specific event which either occurs or not such as winning a race. The binomial distribution is symmetrical (like the normal distribution ), in certain cases, but is otherwise skewed. See also …   Dictionary of sociology

  • binomial distribution — binominis skirstinys statusas T sritis biomedicinos mokslai apibrėžtis ↑Dichotomine matavimų skale matuojamų ↑kintamųjų reikšmių ↑skirstinys. Šis skirstinys apibūdinamas parametru p, reiškiančiu kintamojo tikimybę įgauti vieną iš dviejų galimų… …   Lithuanian dictionary (lietuvių žodynas)

  • binomial distribution — the probability distribution that describes the frequencies of the different possible combinations of two alternative outcomes in a series of n independent trials; it is given by expansion of the binomial (p + q)n, where one of the two… …   Medical dictionary

  • binomial distribution — noun a theoretical distribution of the number of successes in a finite set of independent trials with a constant probability of success (Freq. 8) • Syn: ↑Bernoulli distribution • Topics: ↑statistics • Hypernyms: ↑distribution, ↑ …   Useful english dictionary

  • binomial distribution — noun The discrete probability distribution of the number of successes in a sequence of n independent yes/no experiments, each of which yields success with probability p …   Wiktionary

  • binomial distribution — noun Statistics a frequency distribution of the possible number of successful outcomes in a given number of trials in each of which there is the same probability of success …   English new terms dictionary

Share the article and excerpts

Direct link
… Do a right-click on the link above
and select “Copy Link”