Uniform
The cumulative distribution function
UniformDist
x;a, b
for a < b is the function
The probability density function of the uniform distribution on an
interval [a, b], where a < b, is the function
The uniform random variable is the continuous version of ``choosing a number
at random.'' The probability that a uniform random variable on
a, b
will have a value in either of two subintervals of
a, b
of equal length is the same.
The following plots show cumulative distribution functions
UniformDist
x;a, b
and probability density functions
UniformDen(x;a, b) for
(a, b) =
0, 1
,
1.5, 5
,
3, 15
and
-5≤x≤20.
itbpFU2.1577in1.7573in0inUniform density functions itbpFU2.1577in1.7573in0inUniform distribution functions