What is the probability that the clinic is idle- no patient waiting or being served?

9-1 Alpha Walk-in clinic operates as a single channel single server system. On Tuesday, its average arrival rate (m) per hour is 7.0 Analysis indicate that its service rate (A) is 8.5 patients per hour. Using queening theory, describe this service system. What is: a. The probability that the clinic is idle-no patient waiting or being served? b. The average number of patients in the system/c. The average time(hours) a patientspends I the system (waiting + service time)?d. The average number of patients in the waiting for service?e. The average time (hours) a patient spends in the queue waiting?f. The probability that the patient, upon arrival, must wait? 9-2 The following date have been collected from a hospital pharmacy. This service system operates a as a single server, single channel system.The expense associated with each 50-prescription increment is $100. In other words, to be able to process 50 additional prescriptions will cost an $100 per hour. If the current rate of processing or service is lowered by 50 prescription per hour, the saving are 100 hours. Using queuing theory, describe this service system. What is: a. The probability that the clinic is idle- no patient waiting or being served?b. The average number of patients in the system?c. The average time (hours) patients spends in the system (waiting+ service time)?d. The average number of patients in the queue waiting for service?e. The average time (hours) a patient spends in the queue waiting?f. The probability that a patient, upon arrival, must wait?