Category:Discrete Uniform Distribution

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This category contains results about the 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:

$X \sim \DiscreteUniform n$