ABSTRACT
Figure 4.2 shows examples of the probability density function
f
(
x
) for the exponential distribution.
The cumulative distribution function
F
(
x
) for the exponential distribution is given by
F
(
x
) = 1 –
e
(0
≤
x
<
∞
) (4.6)
The mean
E
[
X
] and variance
Var
[
X
] for the exponential distribution are given by
(4.7)
and
(4.8)
respectively (Allen, 1978; DeGroot, 1986; Freund, 1992; Hoel, Port, and Stone, 1971; Mood, Graybill, and Boes, 1974).