Suppose users share a 1Mbps link. Also suppose each user requires 100Kbps when transmitting, but each user transmits only 20% of the time.
a) When circuit switching is used, how many users can be supported? (5 marks)
b) For the remainder of the problem, suppose packet switching is used. Find the probability that a given user is transmitting. (5 marks)
c) Suppose there are 20 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. (10 marks)
d) Find the probability that there are 11 or more users transmitting simultaneously.