Four servers are currently busy, each serving a differentcustomer. You are the next in line to be served, as soon as oneserver becomes available. The servers have different levels ofexperience, resulting in slightly different expected service timeper customer. Server 1 has mean service time 50 seconds, Server 2has mean service time 55 seconds, Server 3 has mean service time 60seconds, and Server 4 has mean service time 65 seconds. All servershave their service time exponentially distributed. A) Determine theprobability that you will be served by Server i, for i=1,2,3,4. B)Determine the expected time that you have to wait before beingserved. C) Determine your own expected service time (in seconds),when you are still waiting in queue (so you do not know yet whichserver will be assigned to you). D) Determine the total time thatyou expect to spend waiting and then being served.
