A Professor Dutifully Holds Six Office Hours Per Week as Dictated

Essay

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.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
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.
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 number of minutes of office hour time that is used to answer questions during this simulated 16-week semester?