```{exercise} 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. ```

```{exercise, name="Little's law"} There are many simple exercises on can do with Little's law. See [here](http://web.eng.ucsd.edu/~massimo/ECE158A/Handouts_files/Little.pdf) ```

* Version: `r format(Sys.time(), '%d %B %Y')` * [Rmd Source](https://tsoo-math.github.io/ucl/QHW7.Rmd)