Conditions for a discrete uniform distribution
Example: The random variable X is defined as the score on a single die. X is a discrete uniform distribution on the set {1, 2, 3, 4, 5, 6}
The probability distribution is
Expected mean and variance
For a discrete uniform random variable, X defined on the set {1, 2, 3, 4, …, n},
By symmetry we can see that the Expected mean
µ = E[X] =\(\frac{1}{2}\)n+1)
Var (X)=σ2=\(\frac{1}{12}\)(n2-1)
Non-standard uniform distribution
The formulae can sometimes be used for non-standard uniform distributions.
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