5:46 LTE ezto.mheducation.com E connect Problem 7-18 To support National Heart W

Question

5:46 LTE ezto.mheducation.com E connect Problem 7-18 To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mal for the week. Previous experience indicates that on average, 11.0 persons per hour request a test. Assume armals e Posson dstibuted from an infinite population Blood pressure measurer bende at a stant time of five minutes each. Assume the queue length can be infinite with FCFS discipline. a. What average number in line can be expecied? (Round your answer to 3 decimal places.) Average number expected people b, what average number of persons can be expected to be answer to 3 decimal places.) system?(Round your Average number of personspersons c. What is the average amount of time that a person can expect to spend in line7 (Round your answer to 4 decimal places Average an oundnne ]hours d. On the average, how much time will i take to measure a person's blood pressure including waiting time? (Round your answer to 4 decimal places Time takern

Explanation / Answer

Arrival rate (A) = 11 per hour

Service rate (S) = 60/5 = 12 per hour

a) Average number in line (Lq) = A^2/(2*S*(S-A)) = 11^2/(2*12*(12-11)) = 121/24 = 5.042

b) Average in system = Lq + 1 = 5.042 + 1 = 6.042

c) Average time spend in line = Lq/A = 5.042/11 hour = 0.4583 hours

d) Total time in system = Lq/A + 1/S = 0.4583 + 1/12 = 0.5417 hours

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