1. Consider a single-server queueing model where customers arrive according to a homogeneous Poisson process with rate A4 = 5. Upon arrival a customer either enters service if the server is free at that moment or else joins the waiting queue if the server is busy. When the server completes serving a customer it then begins serving the customer that had been waiting the longest. The service times are i.i.d. exponential random variables with rate As = 4, independent of arrivals. Suppose, however, that each customer will only wait a random amount of time, distributed as Uniform (0,5), from his/her arrival time, and leave if not served by then (lost customer). Estimate the expected number of lost customers by the time T = 100 based on 500 simulation runs.