Uniform Distribution

The discrete uniform distribution (the term first used by Uspensky, 1937) has density function:

f(x) = 1/N,       for x = 1, 2, ..., N

The continuous uniform distribution has density function:

f(x) = 1/(b-a),    for  a < x < b

where

a

is the lower limit of the interval from which points will be selected

b

is the upper limit of the interval from which points will be selected