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Uniform Distribution
A random variable X that assumes the values x1 , x2
, .... , xk has a uniform distribution if
it assumes each of the values x1 , x2 ,
.... , xk with equal probability. The random variable
X is said to be uniformly distributed with the following
probability mass function:
EX. The random variable X that takes on the value of a single
dice roll has a uniform distribution, since X can assume any of
the 6 values in the set {1, 2, 3, 4, 5, 6} with an equal
probability for each. This probability is 1/6.
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