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Mathematics, 01.07.2020 15:01 anthonybowie99

A professor dutifully holds six office hours per week as dictated by an archaic policy. Demand for office hours varies wildly as reflected in this historical data. Probability .50 0.05 0.10 0.00 0.05 0..5 0.10 0.10 0.05 Students per six hours 0 1 2 3-9 10 11 12 13 14 The duration of time to answer questions varies independently from the actual demand. Question duration is reflected in this table. Probability .10 0.05 0.10 .05 0.10 0.05 0.10 0.05 0.15 Question duration (minutes) 1 2 3 4-9 10 11 12 13 14 Entries in the student demand and question duration tables that reflect a range in demand, i. e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table. Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability. This table contains random numbers for the number of students and duration of question for a 16-week period. Week # Students Question Duration Week # Students Question Duration 1 78 20 9 50 14 2 52 71 10 61 36 3 82 60 11 2 18 4 52 80 12 26 74 5 69 33 13 43 97 6 15 11 14 43 9 7 7 32 15 62 4 8 18 49 16 51 96 Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes. What is the highest total time spent answering questions of all the weeks shown in Table 13-7? 154 158 162 150

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