solve please from a to g

Multi-server Operating Characteristics at Division of Motor Vehicles For a specific queuing system, we want to calculate the operational characteristics of a multi- server, single-phase waiting line system. The arrival rate is expected to be 56 customers per hour and follows a Poisson distribution. The number of identical servers is 5. Each server will be able to serve an average of 7 customers per hour. The service times are described by an exponential distribution. Your job is to calculate the following: a) The average system utilization (p) b) The probability of no customers in the system c) The average number of customers waiting in line d) The average time a customer waits in line e) The average time a customer spends in the system f) The average number of customers in the system g) Draw a chart of a Multi-server probabilities of customers in the system Multi-server Operating Characteristics at Division of Motor Vehicles For a specific queuing system, we want to calculate the operational characteristics of a multi- server, single-phase waiting line system. The arrival rate is expected to be 56 customers per hour and follows a Poisson distribution. The number of identical servers is 5. Each server will be able to serve an average of 7 customers per hour. The service times are described by an exponential distribution. Your job is to calculate the following: a) The average system utilization (p) b) The probability of no customers in the system c) The average number of customers waiting in line d) The average time a customer waits in line e) The average time a customer spends in the system f) The average number of customers in the system g) Draw a chart of a Multi-server probabilities of customers in the system