Suppose you are asked to design a highway control system where all the sensors share a 1 Mbps link to the control center. Each sensor transmits with probability 0.1. When it transmits, it can transmit either only numerical measurements at 0.1 Mbps, or both numerical measurements and video at 1 Mbps.

a) How many sensors can be supported using circuit switching if they transmit only numerical measurements? And what if they transmit both numerical measurements and video?

b) Assume that sensors only transmit numerical measurements. How many sensors can be supported using packet switching such that the probability of exceeding the link capacity is no more than 0.005?

c)Repeat b) but assume that sensors transmit both numerical measurements and video.

d) Compare b-c) with a), at which transmission rate (0.1 Mbps or 1 Mbps) the sensors benefit more from packet switching?