405
INSTRUCTOR’S SOLUTIONS MANUAL
INSTRUCTORS SOLUTIONS MANUAL
INSTRUCTORS SOLUTIONS MANUALto accompany
PROBABILITY AND STATISTICSTHIRD EDITION
Morris H. DeGroot Mark J. SchervishCarnegie Mellon University
To the memory of Morrie DeGroot
MJS
Reproduced by Addison-Wesley from files supplied by the author. Copyright 2002 Pearson Education, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America. ISBN 0-201-87999-9
1 2 3 4 5 6 7 8 9 10 VG 05 04 03 02
A P1 P4 P6 P7 P2 P3 P5
B
C
150
(65,150)
Electric 50
100
(200,15)
0
0
50
100 Water
150
200
4 3
0
1
x
3
0
3
x
1
2
x
x
0
1
1.0
F(x) 0.4
0.6
0.8
0.0-1.0
0.2
-0.5
0.0
0.5 x
1.0
1.5
2.0
1 0.8 0.6 0.2 2 0
1
4
x
1
0.75 0.5
0
1
2
3
4
5
6
x
0
3
x
3
x
F(x) 1
-2
0
8
x
F(z)
0
1
z
F(y) 1
0.6
0.2 0 1 2 3 4 5 y
y 0.00.0
0.2
0.4
0.6
0.8
1.0
0.5
1.0 x
1.5
2.0
y 1
0
1
2
x
y 1 1 2 0 2 x
1 y y = 1x2
1
0
1
x
y
1
0
1/2
1
x
y 1
y=x+1
1
0
1
x
y 1
4y + x = 4 4 x
y (0,1) (1,1)
(0,0) 1/4 (1,0)
x
y 4
0
3
x
y 1
1
1
x
y 2
1
0
1
2
x
y 1 x2 + y2 = 1
1
1
x
1
y 60
10
0
10
60
x
y (1,1)
x (2,2) (4,2)
S
(5,1)
y 4
s
0
2
x
y
(1,1) y = x(2 x)
0
1
2
x
y (1,1) T yz = 1
z
F(z) 1 .8 .6 .4 .2 0 1 2 3 4 5 z
F(x)
0
1
2
x
x2
1
0
1
x1
y 1 2 A
0
1
x
B 60
15 0 10 60 A
y 2
1
1 1
1
x
2
y 1
0
1
x
5
Boundary of |x1-x2|
