In .Mumq, the Field Robotics unit provides a technical support for its customers for free. Currently, the technical support centre is staffed by one consultant. The customers contact the support centre randomly via Zoom link during business hours, on average one every 18 minutes. If the consultant is busy then the customer is asked to hold and wait. The service time is exponentially distributed with a mean of 16 minutes. (1) Calculate the arrival rate per hour. (2) Calculate the service rate per hour. (3) Find the minimum service rate per hour such that the consultant will be busy 95% of the time. (4) Find the probability that the consultant is idle. (5) How long will the consultant be idle during 8-hour business day on average? (6) What is the probability that there is more than one customer in the Zoom waiting room? Include the formulae. (7) Find the average gueue length. Include the formula. (8) Find the average waiting time in the queue. Include the formula. (9) Field Robotics' manager is considering temporarily replacing the consultant by a robot that would enable a constant service time of 16 minutes per customer. Hence, the service time is no longer exponentially distributed. Find the average gueue length. Include the formula. (10) In (9) Find the average waiting time in the gueue. (11) What is the percentage change in the queue waiting time from (8) to