$($a$)$ Suppose N packets arrive simultaneously to a router at which no packets are currently being transmitted or queued.$$ All packets are routed to the same outgoing link.$$ Each packet is of length L and the outgoing link to which all packets are routed has transmission rate R$.$ What is the average queuing delay for the N packets?

$($b$)$ Now suppose that N such packets arrive to the router every LN$/$R seconds.$$ What is the average queuing delay of a packet?

$($a$)$ What is the queuing delay for the packet?

$($b$)$ More generally, what is the queuing delay when all packets have length L$,$ the transmission rate is$$R$,$x$$bits of the currently$-$being$-$transmitted packet have been transmitted, and$$n$$packets are already in the queue?