question 1 parts a-e

Problem 1) (12 points) To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth 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 measurement times follow an exponential distribution with an average of four minutes. Assume the queue length can be infinite with FCFS discipline. a) What is the average number of people in line? (2.5 points) b) What is the average number of people in the system? (2.5 points) c) What is the average amount of time that a person can expect to spend in line? (2.5 points) d) On average, how much time will a person spend in the system? (2.5 points) e) On weekends, the arrival rate can be expected to increase to over 20 per hour. What effect will this have on the average number of people waiting in line? (2 points)