69. a.
.114
b.
.879
c.
.121
d.
Use the binomial distribution with
,
71. a. h
x; 15, 10, 20 for
b.
.0325
c.
.697
73. a. h
x; 10, 10, 20
b.
.033
c. h
x; n, n, 2n
75. a. nb
x; 2, .5
b.
.188
c.
.688
d.
2, 4
77. nb
x; 6, .5, 6
79. a.
.932
b.
.065
c.
.068
d.
.492
e.
.251
81. a.
.011
b.
.441
c.
.554, .459
d.
.945
83.
Poisson5
a.
.492
b.
.133
85. a.
.122, .809, .283
b.
12, 3.464
c.
.530, .011
87. a.
.099
b.
.135
c.
2
89. a.
4
b.
.215
c.
At least years
91. a.
.221
b. 6,800,000 c. px; 20.106
95. b.
3.114, .405, .636 2
ln .12 1.1513 x 5
5, c
,10 p 5
.10 n 5
15
97. a. b
x; 15, .75
b.
.686
c.
.313
d. 11.25, 2.81 e. .310
99.
.991
101. a. p
x; 2.5
b.
.067
c.
.109
103.
1.813, 3.05
105.
, for
107. a.
.0029
b.
.0767, .9702
109. a.
.135
b.
.00144
c. 111.
3.590
113. a.
No
b.
.0273
115. b. c.
d.
.6 and .4 replace .5 and .5, respectively.
117.
, where if
or .
121. a.
2.50
b.
3.1 k .
10 k ,
p
k
5 a
10 i5
1
p
i1j1 1
1 p
i2j2 1
p
i
.25m
1
2 m
2 2
1 .5m
1
1 m
2
.5m
1
1 .5m
2
a
` x5
[px; 2]
5
.99950841 7,
c ;
x 5 5, 6,
[1 2 p2 2 c 2 px 2 3]1 2 pp
2
p 3 5 1 2 pp
2
, p4 5 1 2 pp
2
, px 5 p
2 5 p
2
1. a.
.25
b.
.50
c.
.4375
3. b.
.5
c.
.6875
d.
.6328
5. a.
.375
b.
.125
c.
.297
d.
.578
7. a. b.
.20
c.
.40
d.
.20
9. a.
.562
b. .438, .438 c. .071
11. a.
.25
b.
.1875
c.
.4375
d.
1.4142
e. f.
1.33
g. .222, .471 h. 2
13. a.
3
b. c.
.125, .088 d. 1.5, .866 e.
.924
15. a. b.
.0107
c.
.0107, .0107
d.
.9036
e. .818, .111 f. .3137
17. a. b.
c. 19. a.
.597
b.
.369
c. 21.
314.79
23.
248, 3.60 f
x 5 .3466 2 .25 lnx for 0 , x , 4 [B
n1 1
2 A
n1 1
][n 1 1B 2 A] s
X
5 B 2 A 112
E X 5 A 1 B2,
A 1 B 2 Ap
for x 1 F
x 5 0 for x 0, 5 90 c
x
9
9
2
x
10
10
d for 0 , x , 1, 5 1 0 for x 1, 1 2 x
2 3
for x . 1 f
x 5 x2 for 0 , x , 2 f
x 5 .1 for 25 x 35 and 0 otherwise
25. b.
1.890th percentile for X
c. 27.
0, 1.814
29. a.
2.14
b.
.81
c.
1.17
d.
.97
e.
2.41
31. a.
2.54
b.
1.34
c. 33. a.
.9664
b.
.2451
c.
.1336
35. a.
.3336
b.
Approximately 0
c.
.5795
d.
6.524
e.
.8028
37. a.
0, .5793, .5793
b.
.3174, no
c. 39. a.
36.7
b.
22.225
c.
3.179
41.
.002
43.
10, .2
45.
7.3
47.
21.155
49. a.
.1190, .6969
b.
.0021
c.
.7054
d. e.
Normal,
51.
.3174 for for
for , as com-
pared to the bounds of 1, .25, and .111, respectively. k 5
3 k 5
2, .0026 k 5
1, .0456 m 5
7.576, s 5 1.064, .7054 .
5020 or , 1844 using z
.0005
5 3.295
, 87.6 or . 120.4
2 .42
a Xpercentile 1 b
1 32
Chapter 4
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