CHAPTER 7
7.1 0.847
7.3 (a) 0.9, (b) 0.775
7.6 (a) 4. 566 10 3 , (b) 0.8944, (c) 0.383, (d) 0.385
7.9 X 2 is preferred in both cases
7.14 0.0062
7.20 (a) 0.221
(b)
7.22 0.153
7.30 (a) 0.056, (b) 0.989
7.34 0.125, 0, 0, 0.875. N o partial failure is possible
7.36
CHAPTER 8
8.2 (a) (i) Type-1 asymptotic maximum-value distribution is suggested
(ii) 0 .025, 46. 92
(d) (i) G amma is suggested, (ii)
(f) (i) Poisson is suggested, (ii)
(h) (i) N ormal is suggested, (ii)
(j) (i) Poisson is suggested, (ii)
(i) (i) Lognormal is suggested, (ii)
CHAPTER 9
9.1 1.75, 27.96
9.5 (a)
(c) 0.091, 0.91
Appendix C: Answers to Selected Problems 385
fY
y
1
0 : 294
2 ^1 =^2
ya
exp
1
0 : 172
ln^2
ya
0 : 958 b
; forya
0 ; elsewhere
8
><
>:
mYab
fS
s
n
n 1
Z 1
1
FX
yFX
ysn^2 fX
ysfX
ydy; fors 0
0 ; elsewhere
8
<
:
u
0 : 317
v 45 : 81
m2860, 202 : 9
v 7 : 0
X 76 :2,^2 lnX 0 : 203
fY
y
10 y^9 ; for 0y 1
0 ; elsewhere
fZ
z
10
1 z^9 ; for 0z 1
0 ; elsewhere