Once again, let’s consider a router which, over time, has been shown to receive on average 1000 such requests in any given 10 minute period during regular working hours. This would mean that, on average, it would take \(\mu = \frac{10}{1000} = \frac{1}{100} = 0.01\) minutes (i.e., less than a second) to receive the first request. If X were to measure the time interval until the first actual request comes in, then the Exponential distribution would be a good model using
\begin{equation*}
f(x) = \frac{1}{0.01} e^{-\frac{x}{0.01}}.
\end{equation*}