Consider a data center where a processor is capable of processing an average$1$ million

packets$/$second $($i$.$e$.,\backslash$mu $=1$ million packets$/$second$).$ Suppose that the memory can

store up to $5$ packets, i$.$e$.,$ this is a M$/$M$/1/5$ queue. What should be the average arrival

rate $($i$.$e$,\backslash$lambda $)$ to this system such that the average delay experienced by packets is less

than $2$ micro$-$seconds