In Kleinrock's book on Queueing Systems $($Volume $1),$ the well$-$known PollaczekKhinchin $($PK$)$ mean value formula on page $187$ states that the average number of customers in an M$/$G$/1$ system with FIFO service is:

$\frac{?}{\text{b}\text{a}\text{r}}(q)=+{}^2\frac{(1+C^2)}{2(1-)}$

$d$ : For the general $\frac{M}{G}\frac{?}{1}$ model at the top of the page, use Little's Law $N=T,$ where $N={?}^{-}q,$ to show the total time $T$ in the system, as a function of $.$ Express your result in the form $T=x+W,$ where $x=\frac{1}{}$ is the mean service time, and $W$ is the waiting time. Note that $W$ will be a $($complicated$)$ function of $=\frac{}{}.$