(10 points) Packets arrive at a buffer at a Poisson rate of 5000 packets per sec. Packet lengths areexponentially distributed with a mean of 10000 bits. Packets from the buffer are transmitted over a 100Mbps link in a first-come-first-served fashion

(a)What is the average packet delay and the average buffer occupancy of this system in steady state?

(b)What is the probability that an arriving packet does not have to be buffered?

(c)What is the probability that an arriving packet sees 4 or more packets in the system (waiting or under

transmission)?

(d)How much higher can the arrival rate be if a packet delay of 1 ms can be tolerated?