... 185
CHAPTER 6 Random Sampling
and Data Description 189
6-1 Data Summary and Display 190
6-2 Random Sampling 195
6-3 Stem -and- Leaf Diagrams 197
6-4 Frequency Distributions and
Histograms 203
6-5 Box Plots ... Total Probability Rule 43
2-6 Independence 46
2-7 Bayes’ Theorem 51
2-8 Random Variables 53
CHAPTER 3 Discrete Random
Variables and Probability
Distr...
... NY
1015 8-0 012, (212) 85 0-6 011, fax (212) 85 0-6 008, E-Mail: PERMREQ@WILEY.COM.
To order books please call 1(800 )-2 2 5-5 945.
Library of Congress Cataloging-in-Publication Data
Montgomery, Douglas C.
Applied ... C.
Applied statistics and probability for engineers / Douglas C. Montgomery, George C.
Runger.—3rd ed.
p. cm.
Includes bibliographical references and index....
...
1, Y
I
1)
=
Fxr(l, 1)
=
(1
-
e-")(l
-
e-8)
P(X
5
1)
=
Fx(l)
=
(1
-
e-")
P(Y
>
1)
=
1
-
P(Y
I
1)
=
1
-
Fd1)
=
e-@
PROBABILITY
[CHAP 1
sample points ... of
Theory and Problems of
Probability, Random Variables, and Random
Processes
Hwei P. Hsu, Ph.D.
Professor of Electrical Engineering
Fairleigh Dickinson University
Start...
...
1, Y
I
1)
=
Fxr(l, 1)
=
(1
-
e-")(l
-
e-8)
P(X
5
1)
=
Fx(l)
=
(1
-
e-")
P(Y
>
1)
=
1
-
P(Y
I
1)
=
1
-
Fd1)
=
e-@
PROBABILITY
[CHAP 1
sample points ... of
Theory and Problems of
Probability, Random Variables, and Random
Processes
Hwei P. Hsu, Ph.D.
Professor of Electrical Engineering
Fairleigh Dickinson University
Start...
...
(2.8),
P(X
=
-Go)= P(Y
=
-co)=O
Since
(X=
-
a,Y~y)c(X=-a) and (XIX,YI-a)c(Y=-co)
and by
Eq.
(1
.D), we have
P(X
=
-a,
Y
I
y)
=
Fxy(-m, y)
=
0
P(X
I
X, Y
=
-
m)
=
FxY(x, ... there is a closed path between a and
b
if s, and s, or
s,
and s, are closed.
From Fig. 1-5 (d), we see that there is a closed path between a and
b
if either
s,
and...
...
1, Y
I
1)
=
Fxr(l, 1)
=
(1
-
e-")(l
-
e-8)
P(X
5
1)
=
Fx(l)
=
(1
-
e-")
P(Y
>
1)
=
1
-
P(Y
I
1)
=
1
-
Fd1)
=
e-@
PROBABILITY
[CHAP 1
sample points ... of
Theory and Problems of
Probability, Random Variables, and Random
Processes
Hwei P. Hsu, Ph.D.
Professor of Electrical Engineering
Fairleigh Dickinson University
Start...