Question

1. Construct a Box Plot for the given data: 20, 32, 55, 88, 38, 98, 42, 46, 32, 21, 18, 20

2. Two dice are rolled. Find the probability of getting:

- A sum of 8, or 9, or 10
- Doubles or a sum of 7
- A sum greater than 9 or less than 4
- Based on the answers above, which is least likely to occur?

Answer #1

The box plot of the data is :

2.

The probability of getting a sum of 8 or 9 or 10

= P(sum = 8) +P(sum = 9) + P(sum = 10)

= P( { (4,4),(3,5),(5,3),(2,6),(6,2) } ) + P( { ((3,6),(6,3),(4,5),(5,4) } ) + P( { ((5,5),(4,6),(6,4) } )

The probability of getting doubles or a sum of 7

= P(getting doubles) + P(sum = 7)

= P({(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)} + P({(3,4),(4,3),(5,2),(2,5),(6,1),(1,6)})

1. Construct a Box Plot for the given data: 20, 32, 55, 88, 38,
98, 42, 46, 32, 21, 18, 20
2. Two dice are rolled. Find the probability of getting:
A sum of 8, or 9, or 10
Doubles or a sum of 7
A sum greater than 9 or less than 4
Based on the answers above, which is least likely to
occur?

Driving under the influence of alcohol (DUI) is a serious
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Using the listed ages; find 16 18 20 21 21 22 22 22 23 24 24 25 26
26 26 27 27 27 29 30 30 31 31 32 33 34 34 35 35 36 37 38 39 40 40
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Using the accompanying Student Grades data, construct a scatter
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trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
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Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
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Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
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4
88
84
5
76
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6
66
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7
75
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8
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9
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92
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11
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12
87
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13
86
49
14
63
72
15
92
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16
75
89
17
69
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18
92
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19
79
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20
60
71
21
68
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71
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23
61
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68
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3
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0003445677888899
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Period 9
Period 10
9 8 2...

Person
number
X
Value
Y
Value
Person number
X
Value
Y
Value
Person number
X
Value
Y
Value
1
24
30
11
39
42
21
21
27
2
42
53
12
60
65
22
33
29
3
20
27
13
34
40
23
25
27
4
31
30
14
24
26
24
22
25
5
22
24
15
51
57
25
28
33
6
46
47
16
80
83
26
34
40
7
52
60
17
28
27
27
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Given here are data for a dependent variable and four potential
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y
x1
x2
x3
x4
x5
96
8
60
2.4
48
51
73
6
64
2.1
42
43
108
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1.8
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20
124
5
74
2.2
11
14
82
6
50
1.5
61
29
89
9
57
1.6
53
22
76
1
72
2
72
38
109
3
74
2.8
36
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99
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