Posted: March 6th, 2014

Analyze time waiting in line

To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for the week. Previous experience indicates that, on average, 17 persons per hour request a test. Assume arrivals are Poisson distributed from an infinite population. Blood pressure measurements can be made at a constant time of three minutes each. Assume the queue length can be infinite with FCFS discipline.

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1. What average number in line can be expected?

2. What avergae number of persons can be expected in the system?

3. What is the average amount of time that a person can expect to wait in line?

4. On average, how much time will it take to measure a person’s blood pressure, including waiting time?

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