(A research investigator has 6 research associates working under him. The arrival rate of research associates to the room of the research investigator for discussion is 2.5 research associates per hour and the service rate of the research investigator is 1.5 research associates per hour. Both the arrival rate and the service rate follows poisson distribution. Find the following (a) The probability that the research investigator is free (po). (b) Average waiting number of research associates in the queue. (c) Average waiting number of research associates in the system. (d) Average waiting time per research associate in the queue. (e) Average waiting time per research associate in the system.