Suppose users share a 2 Mbps link. Also each user transmits continuously at 1 Mbps when transmitting, but each user transmits only 20 percent of the time.
a) When TDM is used, how many users can be supported?
b) For the remainder of the problem, suppose statistical multiplexing is used. Why will there be essentially no queuing delay before the link if two or fewer users transmit at the same time? Why will there be queuing delay if three users transmit at the same time?
c) Find the probability that a given user is transmitting.
d) Suppose now there are three users. Find the probability that at a given time, all three users are transmitting simultaneously.
e) Find the fraction of time during which the queue grows.