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).