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, 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 the FCFS discipline.a. What average number in line can be expected?b. What the average number of persons can be expected to be in the system?c. What is the average amount of time a person can expect to spend in line?d. On average, how much time will it take to measure a person’s blood pressure, includingwaiting time?e. On weekends, the arrival rate can be expected to increase to over 12 per hour. Whateffect will this have on the number in the waiting 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, 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 the FCFS discipline.
a. What average number in line can be expected?
b. What the average number of persons can be expected to be in the system?
c. What is the average amount of time a person can expect to spend in line?
d. On average, how much time will it take to measure a person’s blood pressure, including
waiting time?
e. 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?
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