Use R software!

Q 1. Consider a singleserver queueing model where customers arrive according to a homo geneous Poisson process with rate AA 2 1|]. 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. 1When the server completes serving a customer it then begins serving the cus tomer that had been waiting the longest. If there are no waiting customers the server remains idle until the next customer arrives. The service times are i.i.d. exponential random variables with rate AS = 5, independent of arrivals. Suppose that each cus tomer will leave after an exponential amount of time, with rate Aw : 2, from his}r her arrival if not served by then. Generate tle arrival times and departure times of the rst two customers. [10 marks]