Just provide answers. No need to show work.

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Lambda 10 Mu 12 Probability system is empty 0.167 Average number waiting for service in the queue 4.167 Average number in system (queue and in service) 5.000 Average time waiting for service (time in queue) 0.417 Average waiting time in system (waiting time plus service time) 0.500 Probability arrival has to wait 0.833 3 Probability of n units in the system (queue and in service) 0.096Assume trucks arriving for loading/unloading at a truck dock from a single server waiting line. The mean arrival rate is five trucks per hour, and the mean 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 idle? b. What is the average number of trucks in the queue? truck(s) C. 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? hour(s) e. What is the average time a truck spends in the system? hour(s) f. What is the probability that an arriving truck will have to wait? g. What is the probability that more than two trucks are waiting for service