Suppose users share a 10 Mbps link. Also suppose each user transmits continuously at 1 Mbps when transmitting, but each user transmits only 20 percent of the time.
a. When circuit switching is used, how many users can be supported?
b. For the remainder of this problem, suppose packet switching is used and there are 20 users. Why will there be essentially no queuing delay before the link if ten or fewer users transmit at the same time? Why will there be a queuing delay if more than 10 users transmit at the same time?
c. Find the probability that a given user is transmitting.
d. Find the probability that a given user is transmitting and others are not transmitting.
e. Find the probability that any one user is transmitting and others are not transmitting.
f. Find the probability that at any given time, all 20 users are transmitting simultaneously.
g. Find the probability that more than 10 users are transmitting simultaneously (fraction of time during which the queue grows).

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