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Spreadsheet Assume trucks arriving for loading/unloading at a truck dock from a single server waiting to the mean arrival rate is four trucks per hour and the main service rate is eight trucks per hour. Use the Single Server Queue Excel template to answer the following questions. Do not round intermediate calculations. Round your answers to three decimal places a. What is the probability that the truck dock will be die F 2 b. What is the average number of trucks in the que? truck(s) What is the average number of trucks in the system? truck(s) d. What is the average time a truck spends in the queue waiting for service? hours) e what is the average time a truck spends in the system! hour(s) What is the probability that an arriving truck will have to wait? What the probability that more than two trucks are waiting for service? OMA B4 ft 10 A B 1 Single Server Queueing Model 2 Enter the data only in the yellow cells. D E Cengage Learning Not for commercial use. 3 4 4 10 5 Lambda Mu 6 12 7 00 9 Probability system is empty Average number waiting for service in the queue Average number in system (queue and in service) Average time waiting for service (time in queue) Average waiting time in system (waiting time plus service time) Probability arrival has to wait 10 11 0.167 4.167 5.000 0.417 0.500 0.833 3 0.096 12 n Probability of n units in the system (queue and in service) 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28