complete answers please

Question 4 15 Points A branch office of a large engineering firm has one on-line terminal connected to a central computer system for 16 hours each day. Engineers, who work throughout the city, drive to the branch office to use the terminal for making routine calculations. The arrival pattern of engineers is random (Poisson) with an average of 24 persons per day using the terminal. The distribution of time spent by an engineer at the terminal is exponential with an average time of 30 minutes. Thus the terminal is 3/4 utilized (24 x 1/2 = 12 hours out of 16 hours available). The branch manager receives complaints from the staff about the length of time many of them have to wait to use the terminal. It does not seem reasonable to the manager to procure another terminal when the present one is only used five-eighths of the time, on the average, find the following data as basis of manager on his decision, a) Average time (in minutes) an engineer spends at the branch office is Blank 1 minutes b) Average number of engineers waiting in the queue is Blank 2 engineers c)Average number of engineers in nonempty queue is Blank 3 engineers d) Average waiting time(in minutes) of those who must wait is Blank 4 minutes e) Probability of no customers is Blank 5 f) 90th percentile of time in the queue is Blank 6 minutes g) 90th percentile time in the branch office is Blank 7 minutes Round off your final answer to two decimal places 0.00 Blank 1 Add your answer Blank 2 Add your answer Blank 3 Add your answer Blank 4 Add your answer Blank 5 Add your answer Blank 6 Add your answer Blank 7 Add your