2. 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 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. a. What average number in line can be expected? (Round your answer to 4 decimal places.) Lq=y^2/(2.u.(u-y)=10^2/2*12*(12-10)=2.083 What average number of persons can be expected to be in the system? (Round your answer to 4 decimal places.) The average number of persons in the system, Lq = Lq +u/y= 2.083 + 10/12 = 2.917 I b. What is the average amount of time that a person can expect to spend in line? (Round your answer to 4 decimal places.) The average time spent on the line for waiting, Wq = La/y =2.083/10 = 0.2083 hours = 12.5 min c. 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.) The total time is the system, Ws Ls/y = 2.917/10 = 0.2917 hours 17.5 minutes