.One field representative provides round-the-clock service to five clients for a computer system management company.The company's five clients each request assistance at an average (Poisson distributed) rate of 5.6 calls per day.The field rep on duty can handle requests on average (Exponential distribution) in 24 minutes.While the field rep is helping one client, any other client that calls for assistance hears a recording asking them to leave their name and a description of their problem and is then told that the field rep will call them back as soon as he is free.

(a) Specify the appropriate queuing model for this problem.

(b)Specify the probability that the field representative is idle.

(c)Specify to the nearest minute, the average time that a client waits for a call back.

(d)Specify the probability that the field representative is talking to a client and that there are two other clients waiting for a call back.