Consider the single-server queue with geometrically distributed inter-arrival times and service times as discussed in class, with a departure rate of = 0.7. Plot the expected delay of a job as a function of the arrival rate . You have to run the simulations long enough, for example at least for 10^6 time slots. (Hints: use Littles law to calculate the expected delay, but you have to simulate the queue dynamics to get the expected queue length first.)

Note: Choose one programming language to do the simulation from C/C++, Matlab, Python, and Java. Report (in a format of one single PDF) should include the plot, and simulation code and annotations.