This preview shows page 1. Sign up to view the full content.
STOR 435
Handout 11
Sections 5.5, 5.6.1, 5.7
Example 1
(Exponential rv)
.
Let
λ >
0. If
X
has exponential distribution
with rate
λ
calculate
E
(
X
)
,
var (
X
).
Example 2
(Exercise 5.32; Exponential rv)
.
The time ( in hours) required to
repair a machine is an exponentially distributed random variable with parameter
λ
= 1
/
12 . What is
1. the probability that a repair time exceeds 2 hours?
2. the conditional probability that a repair takes at least 10 hours, given that
its duration exceeds 9 hours?
Example 3
(Gamma distribution)
.
If
X
has a Gamma distribution with pa
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 05/11/2011 for the course STOR 435 taught by Professor Shakar during the Spring '11 term at University of North Carolina School of the Arts.
 Spring '11
 Shakar

Click to edit the document details