Problem:
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 the average, 10 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 five minutes each. Assume the queue length can be infinite with FCFS discipline.
Required:
Question 1) What average number in line can be expected?
Question 2) What average number of persons can be expected to be in the system?
Question 3) What is the average amount of time that a person can expect to spend in line?
Question 4) On the average, how much time will it take to measure a person's blood pressure, including waiting time?
Question 5) On weekends, the arrival rate can be expected to increase to over 12 per hour. What effect will this have on the number in the waiting line?
Solve the given numerical problem and illustrate step by step calculation.