Just provide answers. No need to show work.

Thanks!

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) 0.096Long lines of patients wait for CAT scanning service in a hospital. Patients arrive for scans at a rate of 1.5 per hour. The average processing time for CAT service is 23 minutes per patient. Your summer internship is in the hospital where you are assigned to help analyze the bottleneck situation. One tool that you think can help evaluate the situation is a single server queueing model. 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 system is empty? b. What is the probability that a customer must wait for service? c. What is the average number of customers waiting for service in the queue? customer{s} d. What is the average Inrait time in the queue? hour|{s] e. What is the average time spent in the system? hourts}