3:40 LTE ezto.mheducation.com To support National Heart Week, the Heart Associat

Question

3:40 LTE ezto.mheducation.com 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, or average, 7.5 persons per hour request a test. Assume amivals are Poisson distributed from an inlinite population. Blood pressure measurements can be made at a constant time of six minutes each. Assum, the queue length can be e 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 e. 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

Explanation / Answer

Arrival rate,   = 7.5 per hour

Service rate,   = (1/service time)*60 = (1/6)*60 = 10 per hour

a) Average number of people expected in line, Lq =  2/(*( - )) = 7.52/(10*(10-7.5)) = 2.25 persons

b) Average number of people in system, L = /(-) = 7.5/(10-7.5) = 3 persons

c) Average amount of time in line, Wq = Lq/ = 2.25/7.5 = 0.3 hours

d) Time taken, W = L/ = 3/7.5 = 0.4 hours

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