81.
A substantial positive skew assuming unimodality
83. a.
All points fall on a 45° line. Points fall below a 45° line.
b.
Points fall well below a 45° line, indicating a substantial positive skew.
Chapter 2
1. a.
{1324, 3124, 1342, 3142, 1423, 1432, 4123, 4132, 2314, 2341, 3214, 3241, 2413, 2431, 4213, 4231}
b. c.
d. {1324, 1342, 1423, 1432, 2314, 2341, 3214,
3241, 2413, 2431, 4213, 4231}, contains no outcomes A and B are disjoint,
{3124, 3142, 4123, 4132, 2314, 2341, 3214, 3241, 2413, 2431, 4213, 4231}
3. a. b.
c. d.
,
5. a.
{1, 1, 1, 1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 2, 2, 1, 2, 3, 1, 3, 1, 1, 3, 2, 1, 3, 3, 2, 1, 1, 2, 1, 2, 2, 1, 3, 2, 2, 1,
2, 2, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 2, 3, 3, 3, 1, 1, 3, 1, 2, 3, 1, 3, 3, 2, 1, 3, 2, 2, 3, 2, 3, 3, 3, 1, 3, 3, 2, 3, 3, 3}
b.
{1, 1, 1, 2, 2, 2, 3, 3, 3}
c.
{1, 2, 3, 1, 3, 2, 2, 1, 3, 2, 3, 1, 3, 1, 2, 3, 2, 1}
d.
{1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 3, 3, 3, 1, 1, 3, 1, 3, 3, 3, 1, 3, 3, 3}
7. a.
There are 35 outcomes in .
b.
{AABABAB, AABAABB, AAABBAB, AAABABB, AAAABBB
}
11. a.
.07
b.
.30
c.
.57
13. a.
.36
b.
.64
c.
.53
d.
.47
e.
.17
f.
.75
15. a.
.572
b.
.879
17. a.
There are statistical software packages other than SPSS and SAS.
b.
.70
c.
.80
d.
.20
19. a.
.8841
b.
.0435
21. a.
.10
b.
.18, .19
c.
.41
d.
.59
e.
.31
f.
.69 S
S 5 B
¨ C 5 5SSF, SFS, SSS6 5 C,
B ´ C 5
5SSF, SFS, FSS, SSS6 5 B, A
¨ C 5 5SSF, SFS6,
A ´ C 5
5SSF, SFS, FSS, SSS6, C
r
5 5FFF, FSF, FFS, FSS, SFF6
C 5 5SFS, SSF, SSS6
B 5 5SSF, SFS, FSS, SSS6
A 5 5SSF, SFS, FSS6
A
r
5 A
¨ B A
´ B 5 B 5
52314, 2341, 3214, 3241, 2413, 2431, 4213, 42316 A 5
51324, 1342, 1423, 14326 S 5
23. a.
.067
b.
.400
c.
.933
d.
.533
25. a.
.85
b.
.15
c.
.22
d.
.35
27. a.
.1
b.
.7
c.
.6
29. a.
676; 1296
b.
17,576; 46,656
c.
456,976; 1,679,616
d.
.942
31. a.
243
b.
3645 days roughly 10 yr
33. a.
1,816,214,400
b. 659,067,881,572,000 c. 9,072,000
35. a.
38,760, .0048
b.
.0054
c.
.9946
d.
.2885
37. a.
60
b.
10
c.
.0456
39. a.
.0839
b.
.24975
41. a.
10,000
b.
.9876
c.
.0333
d.
.0337
43.
.000394, .00394, .00001539
45. a.
.447, .500, .200
b.
.400, .447
c.
.211
47. a.
.50
b.
.50
c.
.625
d.
.375
e.
.769
49. a.
.34, .40
b.
.588
c.
.50
51. a.
.436,
b.
.581
53.
.083
55.
.236
59. a.
.21
b.
.455
c.
.264, .462, .274
61. a.
.578, .278, .144
b.
0, .457, .543
63. b.
.54
c.
.68
d.
.74
e.
.7941
65.
.087, .652, .261
67.
.000329; very uneasy.
69. a.
.126
b.
.05
c.
.1125
d.
.2725
e.
.5325
f.
.2113
71. a.
.300
b.
.820
c.
.146
75.
.401, .722
77. a.
.06235
b.
.00421
79.
.0059
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81. a.
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