ABSTRACT
The discrete form of this distribution is described in Section 10.2. The continuous form is basically similar. The probability of occurrence is constant for all values of
Y
in the interval
y
to
y
. When graphed, the pdf produces a straight horizontal line running from
y
to
y
at the distance of
f
(
y
) from the horizontal axis and the cdf produces a curve of constant slope rising from
F
(
y
) to
F
(
y
). In the case of a continuous random variable,
N
(
y
) is undefined, since the interval between adjacent
Y
values is infinitesimally small. However, since it is a constant and serves only as a scalar, it can be set equal to unity. Then
and the pdf is
(11.1)
Note that the pdf is a constant and is a function of the length of the interval between
y
and
y
.
The cumulative probability function is
