The Geo/Geo/1 Queue. [30 points] Given a Geo/Geo/1 queue, consider the following scenarios: i) An arrival rate of 0.2 and a service rate of 0.5 ii) An arrival rate of 0.45 and a service rate of 0.5 iii) An arrival rate of 0.6 and a service rate of 0.5 For each of the scenarios above: A) Find and plot the empirical occupancy rate over 1000 time slots (from ). On the same plot show the theoretical occupancy rate (if it exists). B) Plot the empirical average of the queue length, over 1000 time slots (from ). On the same plot show the theoretical average queue length (if it exists). Describe your strategy for simulation. Compare scenarios (i)-(iii) and and why your plots make sense.