$17\mathrm{.}2-8.$ Consider a single$-$server queueing system with any service$-$ time distribution and any distribution of interarrival times $($the GI$/$G$/1$ model$).$ Use only basic definitions and the relationships given in Sec. $17\mathrm{.}2$ to verify the following general relationships: $($a$)$ L$=$Lq $(1-$P$0).$

$($b$)$ L $=$Lq $+$p $($c$)$ P$0=1-$p