Question: Suppose users share a 2 Mbps link. Also suppose each user requires 100 Kbps when transmitting, but each user transmits only 20% of the time

 Suppose users share a 2 Mbps link. Also suppose each user

Suppose users share a 2 Mbps link. Also suppose each user requires 100 Kbps when transmitting, but each user transmits only 20% of the time in average. (You may review the concept of statistical multiplexing for solving this problem) (a) (b) When circuit switching is used, how many users can be supported? For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting. Suppose there are 40 users. Write the formula of the following probability: P(at any given time, exactly n users are transmitting simultaneously). (Hint: Use the binomial distribution.) (c) (d) Suppose there are 40 users again. Write the formula of the following probability: P(21 or more users transmitting simultaneously)

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