80 92 52 42 90 58 78 116 121 90 75 82 81 69 44 19 40 41 42 81 58 59 81 27 100 55 35 69 15 67 28 99 62 59 40 88 28 83 26 64 103 93 99 77 81 86 82 93 87 53 58 91 82 47 64 57 60 9 60 56 40 42 74 61 91 30 73 79 66 48 77 12 79 63 56 93 89 49 36 71 103 69 111 22 85 58 50 60 73 82 109 5 53 81 103 90 57 54 25 0 40 59 38 44 94 33 54 77 94 78 76 59 73 45 82 90 66 40 83 52 62 82 75 120 76 91 31 89 104 155 40 82 39 71 39 77 83 88 80 73 50 80 58 100 65 35 66 110 55 67 63 21 55 73 8 121 27 46 94 61 94 100 52 58 58 89 106 71 49 57 93 48 102 41 92 67 60 48 72 108 71 1 78 132 63 85 74 57 95 45 53 104 47 53 85 90 67 76 70 38 40 23 64 60 47 85 52 97 40 84 12 22 88 64 54 64 82 89 92 65 62 113 35 84 96 46 48 78 104 89 76 71 79 117 36 95 80 10 95 97 65 40 99 71 21 84 68 87 93 60 65 55 22 65 82 43 103 69 72 53 93 46 84 71 65 111 83 37 74 34 72 79 90 103 25 77 76 18 73 58 36 52 68 60 80 18 18 63 55 81 64 135 86 88 118 54 69 87 83 41 54 33 79 0 40 70 69 90 104 36 78 86 60 22 77 59 81 67 54 29 101 72 78 87 81 90 35 144 97 69 48 34 0 71 94 75 64 102 53 37 30 84 85 71 54 70 97 111 70 33 95 76 43 58 45 48 81 75 43 80 21 43 129 88 33 77 112 85 59 62 61 113 66 130 100 32 59 82 90 62 43 51 62 53 99 49 92 89 116 25 43 59 82 100 67 81 81 55 70 35 91 57 107 49 62 83 0 62 52 34 45 63 71 54 90 47 65 76 91 26 60 83 61 117 74 25 58 74 57 15 83 92 123 35 87 74 76 109 82 25 65 84 82 78 83 90 40 73 64 26 79 90 62 12 65 96 113 99 63 84 79 112 66 82 35 41 68 31 64 37 92 25 113 72 65 80 18 66 110 114 53 66 112 32 96 79 90 33 64 4 70 42 80 109 77 77 43 80 38 37 53 56 87 71 23 81 127 80 122 100 12 88 60 45 67 94 66 60 50 70 57 39 76 69 36 103 74 95 97 38 63 58 72 38 85 31 90 67 88 110 62 40 56 42 42 30 71 93 53 59 69 52 71 111 115 69 61 77 33 64 91 73 46 23 89 68 109 116 13 76 26 0 83 94 83 90 67 98 47 84 65 69 47 55 40 20 82 77 72 39 48 104 81 77 55 82 75 86 81 86 45 63 84 123 45 122 30 68 83 72 67 97 62 88 64 86 81 104 100 42 115 80 107 107 104 44 70 50 75 114 63 61 62 76 80 53 81 35 80 58 59 29 4 83 86 94 66 46 78 108 103 22 91 54 117 48 34 48 98 13 52 64 99 95 48 86 59 55 94 34 109 104 84 75 32 113 57 87 68 77 89 113 85 52 74 88 62 77 14 68 77 67 44 49 39 59 12 71 68 75 93 55 42 92 60 101 45 58 33 78 129 107 110 135 31 61 41 56 114 99 65 38 64 69 87 38 63 83 17 34 51 108 105 91 57 31 25 76 77 59 46 49 74 36 78 38 29 24 67 98 46 79 36 64 98 78 55 127 53 61 55 67 64 61 36 34 106 86 48 30 64 62 70 110 93 60 104 72 68 77 102 5 84 85 41 95 91 69 43 98 0 77 22 70 45 103 121 33 81 101 68 121 106 48 60 71 99 20 59 102 60 58 75 41 33 65 55 133 51 58 99 93 106 28 54 2 93 105 76 0 90 75 93 6 60 42 88 81 71 39 57 52 42 106 95 82 39 30 0 77 46 38 66 47 64 38 75 79 58 20 24 103 102 54 37 87 26 80 32 60 92 109 85 72 47 72 56 115 36 27 76 80 99 55 65 71 31 59 52 132 88 66 68 37 56 83 100 134 48 78 58 107 61 36 75 62 54 85 69 100 98 63 120 98 19 101 48 76 75 51 107 39 60 53 75 83 39 117 49 71 88 57 64 52 49 82 122 74 20 96 40 79 14 104 64 45 53 66 42 54 73 79 69 78 27 65 99 78 97 73 47 133 66 70 62 88 97 30 89 80 30 66 63 65 33 66 52 20 74 56 105 91 41 41 58 30 109 56 60 38 90 69 (a) Find the mean and standard deviation of the levels of support for sustainability. (b) Construct a reasonable interval that will contain approximately 95% of all the values of level of support for sustainability. Justify your answer. (c) What is the z-score of a level of support for sustainability of 100? Interpret.
80 92 52 42 90 58 78 116 121 90 75 82 81 69 44 19 40 41 42 81 58 59 81 27 100 55 35 69 15 67 28 99 62 59 40 88 28 83 26 64 103 93 99 77 81 86 82 93 87 53 58 91 82 47 64 57 60 9 60 56 40 42 74 61 91 30 73 79 66 48 77 12 79 63 56 93 89 49 36 71 103 69 111 22 85 58 50 60 73 82 109 5 53 81 103 90 57 54 25 0 40 59 38 44 94 33 54 77 94 78 76 59 73 45 82 90 66 40 83 52 62 82 75 120 76 91 31 89 104 155 40 82 39 71 39 77 83 88 80 73 50 80 58 100 65 35 66 110 55 67 63 21 55 73 8 121 27 46 94 61 94 100 52 58 58 89 106 71 49 57 93 48 102 41 92 67 60 48 72 108 71 1 78 132 63 85 74 57 95 45 53 104 47 53 85 90 67 76 70 38 40 23 64 60 47 85 52 97 40 84 12 22 88 64 54 64 82 89 92 65 62 113 35 84 96 46 48 78 104 89 76 71 79 117 36 95 80 10 95 97 65 40 99 71 21 84 68 87 93 60 65 55 22 65 82 43 103 69 72 53 93 46 84 71 65 111 83 37 74 34 72 79 90 103 25 77 76 18 73 58 36 52 68 60 80 18 18 63 55 81 64 135 86 88 118 54 69 87 83 41 54 33 79 0 40 70 69 90 104 36 78 86 60 22 77 59 81 67 54 29 101 72 78 87 81 90 35 144 97 69 48 34 0 71 94 75 64 102 53 37 30 84 85 71 54 70 97 111 70 33 95 76 43 58 45 48 81 75 43 80 21 43 129 88 33 77 112 85 59 62 61 113 66 130 100 32 59 82 90 62 43 51 62 53 99 49 92 89 116 25 43 59 82 100 67 81 81 55 70 35 91 57 107 49 62 83 0 62 52 34 45 63 71 54 90 47 65 76 91 26 60 83 61 117 74 25 58 74 57 15 83 92 123 35 87 74 76 109 82 25 65 84 82 78 83 90 40 73 64 26 79 90 62 12 65 96 113 99 63 84 79 112 66 82 35 41 68 31 64 37 92 25 113 72 65 80 18 66 110 114 53 66 112 32 96 79 90 33 64 4 70 42 80 109 77 77 43 80 38 37 53 56 87 71 23 81 127 80 122 100 12 88 60 45 67 94 66 60 50 70 57 39 76 69 36 103 74 95 97 38 63 58 72 38 85 31 90 67 88 110 62 40 56 42 42 30 71 93 53 59 69 52 71 111 115 69 61 77 33 64 91 73 46 23 89 68 109 116 13 76 26 0 83 94 83 90 67 98 47 84 65 69 47 55 40 20 82 77 72 39 48 104 81 77 55 82 75 86 81 86 45 63 84 123 45 122 30 68 83 72 67 97 62 88 64 86 81 104 100 42 115 80 107 107 104 44 70 50 75 114 63 61 62 76 80 53 81 35 80 58 59 29 4 83 86 94 66 46 78 108 103 22 91 54 117 48 34 48 98 13 52 64 99 95 48 86 59 55 94 34 109 104 84 75 32 113 57 87 68 77 89 113 85 52 74 88 62 77 14 68 77 67 44 49 39 59 12 71 68 75 93 55 42 92 60 101 45 58 33 78 129 107 110 135 31 61 41 56 114 99 65 38 64 69 87 38 63 83 17 34 51 108 105 91 57 31 25 76 77 59 46 49 74 36 78 38 29 24 67 98 46 79 36 64 98 78 55 127 53 61 55 67 64 61 36 34 106 86 48 30 64 62 70 110 93 60 104 72 68 77 102 5 84 85 41 95 91 69 43 98 0 77 22 70 45 103 121 33 81 101 68 121 106 48 60 71 99 20 59 102 60 58 75 41 33 65 55 133 51 58 99 93 106 28 54 2 93 105 76 0 90 75 93 6 60 42 88 81 71 39 57 52 42 106 95 82 39 30 0 77 46 38 66 47 64 38 75 79 58 20 24 103 102 54 37 87 26 80 32 60 92 109 85 72 47 72 56 115 36 27 76 80 99 55 65 71 31 59 52 132 88 66 68 37 56 83 100 134 48 78 58 107 61 36 75 62 54 85 69 100 98 63 120 98 19 101 48 76 75 51 107 39 60 53 75 83 39 117 49 71 88 57 64 52 49 82 122 74 20 96 40 79 14 104 64 45 53 66 42 54 73 79 69 78 27 65 99 78 97 73 47 133 66 70 62 88 97 30 89 80 30 66 63 65 33 66 52 20 74 56 105 91 41 41 58 30 109 56 60 38 90 69 (a) Find the mean and standard deviation of the levels of support for sustainability. (b) Construct a reasonable interval that will contain approximately 95% of all the values of level of support for sustainability. Justify your answer. (c) What is the z-score of a level of support for sustainability of 100? Interpret.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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80 | 92 | 52 | 42 | 90 | 58 | 78 | 116 | 121 | 90 |
75 | 82 | 81 | 69 | 44 | 19 | 40 | 41 | 42 | 81 |
58 | 59 | 81 | 27 | 100 | 55 | 35 | 69 | 15 | 67 |
28 | 99 | 62 | 59 | 40 | 88 | 28 | 83 | 26 | 64 |
103 | 93 | 99 | 77 | 81 | 86 | 82 | 93 | 87 | 53 |
58 | 91 | 82 | 47 | 64 | 57 | 60 | 9 | 60 | 56 |
40 | 42 | 74 | 61 | 91 | 30 | 73 | 79 | 66 | 48 |
77 | 12 | 79 | 63 | 56 | 93 | 89 | 49 | 36 | 71 |
103 | 69 | 111 | 22 | 85 | 58 | 50 | 60 | 73 | 82 |
109 | 5 | 53 | 81 | 103 | 90 | 57 | 54 | 25 | 0 |
40 | 59 | 38 | 44 | 94 | 33 | 54 | 77 | 94 | 78 |
76 | 59 | 73 | 45 | 82 | 90 | 66 | 40 | 83 | 52 |
62 | 82 | 75 | 120 | 76 | 91 | 31 | 89 | 104 | 155 |
40 | 82 | 39 | 71 | 39 | 77 | 83 | 88 | 80 | 73 |
50 | 80 | 58 | 100 | 65 | 35 | 66 | 110 | 55 | 67 |
63 | 21 | 55 | 73 | 8 | 121 | 27 | 46 | 94 | 61 |
94 | 100 | 52 | 58 | 58 | 89 | 106 | 71 | 49 | 57 |
93 | 48 | 102 | 41 | 92 | 67 | 60 | 48 | 72 | 108 |
71 | 1 | 78 | 132 | 63 | 85 | 74 | 57 | 95 | 45 |
53 | 104 | 47 | 53 | 85 | 90 | 67 | 76 | 70 | 38 |
40 | 23 | 64 | 60 | 47 | 85 | 52 | 97 | 40 | 84 |
12 | 22 | 88 | 64 | 54 | 64 | 82 | 89 | 92 | 65 |
62 | 113 | 35 | 84 | 96 | 46 | 48 | 78 | 104 | 89 |
76 | 71 | 79 | 117 | 36 | 95 | 80 | 10 | 95 | 97 |
65 | 40 | 99 | 71 | 21 | 84 | 68 | 87 | 93 | 60 |
65 | 55 | 22 | 65 | 82 | 43 | 103 | 69 | 72 | 53 |
93 | 46 | 84 | 71 | 65 | 111 | 83 | 37 | 74 | 34 |
72 | 79 | 90 | 103 | 25 | 77 | 76 | 18 | 73 | 58 |
36 | 52 | 68 | 60 | 80 | 18 | 18 | 63 | 55 | 81 |
64 | 135 | 86 | 88 | 118 | 54 | 69 | 87 | 83 | 41 |
54 | 33 | 79 | 0 | 40 | 70 | 69 | 90 | 104 | 36 |
78 | 86 | 60 | 22 | 77 | 59 | 81 | 67 | 54 | 29 |
101 | 72 | 78 | 87 | 81 | 90 | 35 | 144 | 97 | 69 |
48 | 34 | 0 | 71 | 94 | 75 | 64 | 102 | 53 | 37 |
30 | 84 | 85 | 71 | 54 | 70 | 97 | 111 | 70 | 33 |
95 | 76 | 43 | 58 | 45 | 48 | 81 | 75 | 43 | 80 |
21 | 43 | 129 | 88 | 33 | 77 | 112 | 85 | 59 | 62 |
61 | 113 | 66 | 130 | 100 | 32 | 59 | 82 | 90 | 62 |
43 | 51 | 62 | 53 | 99 | 49 | 92 | 89 | 116 | 25 |
43 | 59 | 82 | 100 | 67 | 81 | 81 | 55 | 70 | 35 |
91 | 57 | 107 | 49 | 62 | 83 | 0 | 62 | 52 | 34 |
45 | 63 | 71 | 54 | 90 | 47 | 65 | 76 | 91 | 26 |
60 | 83 | 61 | 117 | 74 | 25 | 58 | 74 | 57 | 15 |
83 | 92 | 123 | 35 | 87 | 74 | 76 | 109 | 82 | 25 |
65 | 84 | 82 | 78 | 83 | 90 | 40 | 73 | 64 | 26 |
79 | 90 | 62 | 12 | 65 | 96 | 113 | 99 | 63 | 84 |
79 | 112 | 66 | 82 | 35 | 41 | 68 | 31 | 64 | 37 |
92 | 25 | 113 | 72 | 65 | 80 | 18 | 66 | 110 | 114 |
53 | 66 | 112 | 32 | 96 | 79 | 90 | 33 | 64 | 4 |
70 | 42 | 80 | 109 | 77 | 77 | 43 | 80 | 38 | 37 |
53 | 56 | 87 | 71 | 23 | 81 | 127 | 80 | 122 | 100 |
12 | 88 | 60 | 45 | 67 | 94 | 66 | 60 | 50 | 70 |
57 | 39 | 76 | 69 | 36 | 103 | 74 | 95 | 97 | 38 |
63 | 58 | 72 | 38 | 85 | 31 | 90 | 67 | 88 | 110 |
62 | 40 | 56 | 42 | 42 | 30 | 71 | 93 | 53 | 59 |
69 | 52 | 71 | 111 | 115 | 69 | 61 | 77 | 33 | 64 |
91 | 73 | 46 | 23 | 89 | 68 | 109 | 116 | 13 | 76 |
26 | 0 | 83 | 94 | 83 | 90 | 67 | 98 | 47 | 84 |
65 | 69 | 47 | 55 | 40 | 20 | 82 | 77 | 72 | 39 |
48 | 104 | 81 | 77 | 55 | 82 | 75 | 86 | 81 | 86 |
45 | 63 | 84 | 123 | 45 | 122 | 30 | 68 | 83 | 72 |
67 | 97 | 62 | 88 | 64 | 86 | 81 | 104 | 100 | 42 |
115 | 80 | 107 | 107 | 104 | 44 | 70 | 50 | 75 | 114 |
63 | 61 | 62 | 76 | 80 | 53 | 81 | 35 | 80 | 58 |
59 | 29 | 4 | 83 | 86 | 94 | 66 | 46 | 78 | 108 |
103 | 22 | 91 | 54 | 117 | 48 | 34 | 48 | 98 | 13 |
52 | 64 | 99 | 95 | 48 | 86 | 59 | 55 | 94 | 34 |
109 | 104 | 84 | 75 | 32 | 113 | 57 | 87 | 68 | 77 |
89 | 113 | 85 | 52 | 74 | 88 | 62 | 77 | 14 | 68 |
77 | 67 | 44 | 49 | 39 | 59 | 12 | 71 | 68 | 75 |
93 | 55 | 42 | 92 | 60 | 101 | 45 | 58 | 33 | 78 |
129 | 107 | 110 | 135 | 31 | 61 | 41 | 56 | 114 | 99 |
65 | 38 | 64 | 69 | 87 | 38 | 63 | 83 | 17 | 34 |
51 | 108 | 105 | 91 | 57 | 31 | 25 | 76 | 77 | 59 |
46 | 49 | 74 | 36 | 78 | 38 | 29 | 24 | 67 | 98 |
46 | 79 | 36 | 64 | 98 | 78 | 55 | 127 | 53 | 61 |
55 | 67 | 64 | 61 | 36 | 34 | 106 | 86 | 48 | 30 |
64 | 62 | 70 | 110 | 93 | 60 | 104 | 72 | 68 | 77 |
102 | 5 | 84 | 85 | 41 | 95 | 91 | 69 | 43 | 98 |
0 | 77 | 22 | 70 | 45 | 103 | 121 | 33 | 81 | 101 |
68 | 121 | 106 | 48 | 60 | 71 | 99 | 20 | 59 | 102 |
60 | 58 | 75 | 41 | 33 | 65 | 55 | 133 | 51 | 58 |
99 | 93 | 106 | 28 | 54 | 2 | 93 | 105 | 76 | 0 |
90 | 75 | 93 | 6 | 60 | 42 | 88 | 81 | 71 | 39 |
57 | 52 | 42 | 106 | 95 | 82 | 39 | 30 | 0 | 77 |
46 | 38 | 66 | 47 | 64 | 38 | 75 | 79 | 58 | 20 |
24 | 103 | 102 | 54 | 37 | 87 | 26 | 80 | 32 | 60 |
92 | 109 | 85 | 72 | 47 | 72 | 56 | 115 | 36 | 27 |
76 | 80 | 99 | 55 | 65 | 71 | 31 | 59 | 52 | 132 |
88 | 66 | 68 | 37 | 56 | 83 | 100 | 134 | 48 | 78 |
58 | 107 | 61 | 36 | 75 | 62 | 54 | 85 | 69 | 100 |
98 | 63 | 120 | 98 | 19 | 101 | 48 | 76 | 75 | 51 |
107 | 39 | 60 | 53 | 75 | 83 | 39 | 117 | 49 | 71 |
88 | 57 | 64 | 52 | 49 | 82 | 122 | 74 | 20 | 96 |
40 | 79 | 14 | 104 | 64 | 45 | 53 | 66 | 42 | |
54 | 73 | 79 | 69 | 78 | 27 | 65 | 99 | 78 | |
97 | 73 | 47 | 133 | 66 | 70 | 62 | 88 | 97 | |
30 | 89 | 80 | 30 | 66 | 63 | 65 | 33 | 66 | |
52 | 20 | 74 | 56 | 105 | 91 | 41 | 41 | ||
58 | 30 | 109 | 56 | 60 | 38 | 90 | 69 |
(a) Find the
(b) Construct a reasonable interval that will contain approximately 95% of all the values of level of support for sustainability. Justify your answer.
(c) What is the z-score of a level of support for sustainability of 100? Interpret.
(d) Which would be more unusual, a level of support for sustainability of 10 or a level of support for sustainability of 150? Explain.
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