Discrete_random_variable Discrete_random_variable

Discrete random variable - Definition and Overview

Related Words: Bipartite, Broadcast, Broken, Contrary, Differentiated, Diffuse

In mathematics, a random variable is discrete if its probability distribution is discrete; a discrete probability distribution is one that is fully characterized by a probability mass function. Thus X is a discrete random variable if

<math>\sum_u P(X=u) = 1<math>

as u runs through the set of all possible values of the random variable X.

The Poisson distribution, the Bernoulli distribution, the binomial distribution, the geometric distribution, and the negative binomial distribution are among the most well-known discrete probability distributions.

If a random variable is discrete then the set of all possible values that it can assume is finite or countably infinite, because the sum of uncountably many positive real numbers (which is the smallest upper bound of the set of all finite partial sums) always diverges to infinity.

Example Usage of Discrete

DarkLadyWolf: Buh? "It sounds as if it is exactly as Discrete as a more normal unit, but a lot more discreet."
sk33ls: Its really funny when people are obviously talking about you, but they try to be Discrete about it.
VYK: It is endlessly amusing to me how often I see grown men doing 180s when an attractive girl walks by. And without any attempt to be Discrete!
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