Suppose users share a 3 Mbps link. Also suppose each user requires150 kbps when

Chapter 1, Problem P8

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Suppose users share a 3 Mbps link. Also suppose each user requires150 kbps when transmitting, but each user transmits only 10 percent of thetime. (See the discussion of packet switching versus circuit switching inSection 1.3.)a. When circuit switching is used, how many users can be supported?b. For the remainder of this problem, suppose packet switching is used. Findthe probability that a given user is transmitting.c. Suppose there are 120 users. Find the probability that at any given time,exactly n users are transmitting simultaneously. (Hint: Use the binomialdistribution.)d. Find the probability that there are 21 or more users transmittingsimultaneously.

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