Write a computer program that simulates an M/M/1 queue. (b) From your program, when 1 = 5 and u = 8, find the simulated results of E[N], E[T], E[W], E[N], and E[U]. (Note: Don't use Little's Formula in the simulation) (c) Using the same value of 1 and je in (b), find the theoretical results of the following parameters: 1) Expected (average) number in the system E[N]. 2) Average time spends in the system E[T]. 3) Average Waiting Time in queue E[W]. 4) Expected (average) number queue E[N]. 5) Server utilization E[U]. (d) Compare the theoretical and simulated results for each parameter. (e) Based on this program, plot E[N] against the utilization (p), when p= 8'8'8'8'8 Note that p<1 for a stable system. 3 4 5 6 7