# binomial distribution

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## bi·no·mi·al dis·tri·bu·tion

**1.**a probability distribution associated with two mutually exclusive outcomes, for example, presence or absence of a clinical sign.

**2.**the possible array of the number of successes in the outcomes from a fixed number,

*n*, of independent Bernoulli trials; the probabilities associated with each constitute a binomial process of order

*n*.

## binomial distribution

The outcomes of a binomial experiment with their corresponding discrete probability distribution.## Ber·noul·li dis·tri·bu·tion

(ber-nū'lē dis'tri-byū'shŭn)Probability distribution that describes likelihood of various combinations of two alternate outcomes in a series of independent trials.

Synonym(s): binomial distribution.

Synonym(s): binomial distribution.

[Jakob

*Bernoulli*, 1654-1705, Swiss mathematician]## binomial

composed of two terms, e.g. names of organisms formed by combination of genus and species names.

**binomial distribution**

categorization of a group into two mutually exclusive subgroups, e.g. sick and not sick.

**binomial population**

a population which can be divided into a binomial distribution.

## distribution

the arrangement of numerical data. The arrangement may be in accordance with magnitude, a frequency distribution, or in relation to geographical location, a spatial distribution.

**age distribution**

see

**age distribution**.**bimodal distribution**

the distribution has two regions of high frequency of observations separated by a zone of low frequency.

**binomial distribution**

a probability distribution associated with two mutually exclusive outcomes.

**cluster distribution**

a nonrandom distribution with observations aggregating about geographic or temporal variables. May be deceptive and merely reflect the distribution of an uneven population.

**frequency distribution**

a table or graph of the frequency of occurrence of each value of a variable.

**Gaussian distribution**

see normal distribution (below).

**hypergeometric distribution**

may apply to sampling without replacement of a finite population.

**lognormal distribution**

a distribution which is normal when the log values of the variable are considered.

**normal distribution**

a graph of the distribution appears as a bell-shaped curve which is symmetrical on the two sides of the vertical axis through the peak of the curve. Called also gaussian distribution.

**parent distribution**

the distribution (population) that was originally sampled.

**Poisson distribution**

see poisson distribution.

**regular distribution**

distributed at regular intervals of time or space; all values within its given interval are equally likely.

**sex distribution**

an increase in frequency in one sex, which includes neutered males and neutered females. Called also sex-linked or sex-associated.

**skewed distribution**

a distribution in which the curve illustrating it is not symmetrical but has a long tail on one or other side of the graph.

**spatial distribution**

variations in distribution related to position in space, e.g. close to the door of a barn.

*t*-distributionsee t-test.

**temporal distribution**

variation in distribution related to time, e.g. occurrence of disease incidents after visits by veterinarians, inseminators, feed salesmen.

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