Hypergeometric Distribution Definition. In mathematics, the Gaussian or ordinary hypergeometric function 2 F 1 (a,b;c;z) is a special function represented by the hypergeometric series, that includes many other special functions as specific or limiting cases.It is a solution of a second-order linear ordinary differential equation (ODE). 2. the extent of a ramifying structure such as an artery or nerve and its branches.

Imagine that there is an urn, with fifty colored balls in it. hypergeometric-distribution definition: Noun (plural hypergeometric distributions) 1. The hypergeometric pdf is. Hypergeometric distribution synonyms, Hypergeometric distribution pronunciation, Hypergeometric distribution translation, English dictionary definition of Hypergeometric distribution. n. 1.

The hypergeometric distribution models the total number of successes in a fixed-size sample drawn without replacement from a finite population. 3. the geographical range of an organism or disease. distribution [dis″trĭ-bu´shun] 1. the specific location or arrangement of continuing or successive objects or events in space or time. Compare this to the binomial distribution, which produces probability statistics based on independent events.

The hypergeometric distribution, intuitively, is the probability distribution of the number of red marbles drawn from a set of red and blue marbles, without replacement of the marbles.In contrast, the binomial distribution measures the probability distribution of the number of red marbles drawn with replacement of the marbles. y = f (x | M, K, n) = (K x) (M − K n − x) (M n) Background.

The process of distributing or the condition of being distributed, especially: a. Twelve of them are blue, and the other 38 are red.

Hypergeometric Distribution and Example Calculations Now, let's see how to use combinations to find probabilities associated with a hypergeometric distribution. A Real-World Example. Hypergeometric distribution is a probability distribution that is based on a sequence of events or acts that are considered dependent.