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, 12 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 four minutes each. Assume the queue length can be infinite with FCFS discipline.
a. What average number in line can be expected? (Round your answer to 3 decimal places.)
Average number expected people
b. What average number of persons can be expected to be in the system? (Round your answer to 3 decimal places.)
Average number of persons persons
c. What is the average amount of time that a person can expect to spend in line? (Round your answer to 4 decimal places.)
Average amount of time hours
d. On the average, how much time will it take to measure a person's blood pressure, including waiting time? (Round your answer to 4 decimal places.)
Time taken hours