onsider a single$-$server queueing model where customers arrive according to a homogeneous Poisson process with rate $\backslash$lambda A $=5.$ 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 $\backslash$lambda S $=4,$ 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.