Category:Discrete Uniform Distribution

This category contains results about the discrete uniform distribution.
Definitions specific to this category can be found in Definitions/Discrete Uniform Distribution.

Let $X$ be a discrete random variable on a probability space.

Then $X$ has a discrete uniform distribution with parameter $n$ if and only if:

$\Img X = \set {1, 2, \ldots, n}$

$\map \Pr {X = k} = \dfrac 1 n$

That is, there is a number of outcomes with an equal probability of occurrence.

This is written:

$X \sim \DiscreteUniform n$