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Quiz_2_Solution_TTh

# Quiz_2_Solution_TTh - 311 Operations Management Spring 2009...

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311 Operations Management Spring 2009 Name________________________ Section_______________________ Quiz #2: Managing Uncertainty 1. (20 points total; 10 points per part) The Trojan housing office has one customer representative available to help walk-in students. The arrival rate is 8 customers per hour, and the average service time is 4 minutes. Both inter-arrival and service times follow exponential distributions. a. What is the average waiting time in line? State your answer in minutes. λ = 8 customers/hour, μ = 15 customers/hour W q = λ /( μ ( μ λ )) = 0.0762 hours, or 4.6 minutes b. What is the probability that an arriving student (just before entering the housing office) will find at least one other student waiting in line? X = the number of students in the system P( arrival finds at least 1 student in line) = P( X 2) = 1 – P 0 – P 1 = 1 – (1-8/15) – (8/15)*(1-8/15) = 0.284

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2. (60 points total; 10 points per part) The city XYZ post office has 6 clerks that work every day, Monday through Friday.
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Quiz_2_Solution_TTh - 311 Operations Management Spring 2009...

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