Write a program to generate the desired output for the given model. Use it to estimate the average time that a customer spends in the system and the average amount of overtime put in by the server, in the case where the arrival process is a poisson process with rate 10, the service time density is g(x)=20e^-40x(40x)² , x>0 and T=9. First try 100 runs and then 1000.

7.2 A Single-Server Queueing System Consider a service station in which customers arrive in accordance witha nonhomogeneous Poisson process with intensity function (t), t 0, There is a single server, and upon arrival a customer either enters service if this 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 either begins serving the customer that had been waiting the longest (the so-called "first come first served" discipline) if y waiting customers, or, if there are no waiting customers, it remains there are an free until the next customer's arrival. The amount of time it takes to service a 7.2 A Single-Server Queueing System Consider a service station in which customers arrive in accordance witha nonhomogeneous Poisson process with intensity function (t), t 0, There is a single server, and upon arrival a customer either enters service if this 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 either begins serving the customer that had been waiting the longest (the so-called "first come first served" discipline) if y waiting customers, or, if there are no waiting customers, it remains there are an free until the next customer's arrival. The amount of time it takes to service a