2. For a single-server queueing system (e.g. one-operator barbershop), define L(t) to be the total number of customers in the system at time t (including the queue and the customer in service at time t, if any). 1) Is it true that L(t) = number of customer in queue +1? Why or why not? 2) What are the state variables that we need to include in order to study L(t)? Make a plot of L(t) vs. t between times 0 and T(6). Note that T(6) is the time required to observe 6th customer enters service in the system. In initialization step, the interarrival times Ai of customers are assumed to be: A1=0.4, A2=1.2, A3=0.5, A4=1.7, A5= 0.2 A6=1.6, A7=0.2, A8=1.4