uniform distribution, continuous

Variant: rectangular distribution

The continuous distribution on (a, b) with probability density function f given by

where a and b are constants. The distribution has mean ½(a+b) and variance


The error when a decimal number is rounded to the nearest whole number has a uniform distribution on (−0.5, 0.5), with mean error 0 and variance



Uniform distribution, continuous. The density function is constant for all values of the random variable in the given range, which implies that all intervals of the same width in this range are equally likely.
. See diagram overleaf.

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