Question: Question 2 (3.5 marks) A lecturer is preparing himself in his office to answers questions from his students before the exam. His class is a

Question 2 (3.5 marks) A lecturer is preparing

Question 2 (3.5 marks) A lecturer is preparing himself in his office to answers questions from his students before the exam. His class is a mass lecture of 350 students, so he focusses on providing explanations as quickly as possible. On average, he can answer 60 questions an hour and students arrive at his office every five minutes. Student arrivals are Poisson distributed, each student has only one question and answer times are exponentially distributed. a. What is his average utilization? b. What is the average number of students waiting outside his office? c. What is the average time a student spends in line outside the professor's office

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