Exercise 2 Consider a \(M(3)/M(5)/1\) queue. Let \(t=323\), so the queue has had a chance to settle in.
By running simulations, plot the probability mass function for the random number of customers in the system. Do you recognize it? Any guesses?
Start keeping track of the departures and assume they proceed into a new shop. By simulations, produce a histogram of the inter-arrivals times of the items entering the new shop. You might be surprised.