Day Demand 1 109 2 90 3 133 4 103 5 140 6 54 7 78 8 99 9 77 10 86 11 89 12 108 13 83 14 100 15 103 16 71 17 112 18 121 19 101 20 84 21 131 22 68 23 107 24 100 25 98 26 128 27 90 28 105 29 106 30 119 31 107 32 72 33 96 34 73 35 128 36 116 37 104 38 88 39 123 40 93 41 93 42 120 43 131 44 74 45 90 46 77 47 119 48 91 49 87 50 118 51 86 52 99 53 102 54 103 55 84 56 83 57 115 58 85 59 94 60 100 61 99 62 119 63 120 64 107 65 104 66 92 67 127 68 151 69 109 70 86 71 117 72 73 73 110 74 93 75 120 76 124 77 80 78 134 79 122 80 162 81 115 82 128 83 114 84 127 85 84 86 119 87 80 88 103 89 89 90 105 91 112 92 76 93 109 94 47 95 113 96 87 97 92 98 69 99 115 100 76 1. Calculate the mean and the standard deviation of the demand data. 2. What is the probability that daily demand will be less than 90 units? 3. What is the probability that the daily demand will be more than 120 units?

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Day Demand
1 109
2 90
3 133
4 103
5 140
6 54
7 78
8 99
9 77
10 86
11 89
12 108
13 83
14 100
15 103
16 71
17 112
18 121
19 101
20 84
21 131
22 68
23 107
24 100
25 98
26 128
27 90
28 105
29 106
30 119
31 107
32 72
33 96
34 73
35 128
36 116
37 104
38 88
39 123
40 93
41 93
42 120
43 131
44 74
45 90
46 77
47 119
48 91
49 87
50 118
51 86
52 99
53 102
54 103
55 84
56 83
57 115
58 85
59 94
60 100
61 99
62 119
63 120
64 107
65 104
66 92
67 127
68 151
69 109
70 86
71 117
72 73
73 110
74 93
75 120
76 124
77 80
78 134
79 122
80 162
81 115
82 128
83 114
84 127
85 84
86 119
87 80
88 103
89 89
90 105
91 112
92 76
93 109
94 47
95 113
96 87
97 92
98 69
99 115
100 76

1. Calculate the mean and the standard deviation of the demand data.

2. What is the probability that daily demand will be less than 90 units?

3. What is the probability that the daily demand will be more than 120 units?

4. What is the probability that daily demand will be between 80 and 110 units?

5. What is the probability that daily demand will be exactly 100 units?

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