Suppose users share a 9 Mbps link. Each user consumes 1.5 Mbps when transmitting, and only...

   

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Suppose users share a 9 Mbps link. Each user consumes 1.5 Mbps when transmitting, and only transmits with probability 0.2. a) How many users can be supported using circuit switching? b) Assume packet switching for the rest of the problem. What is the probability that 7 out of 10 users are transmitting? c) What is the maximum number of users, such that the probability of exceeding the link capacity is no more than 0.01? Hint: Gradually increase the number of users and evaluate the probability of exceeding the link capacity for each value of this number. Suppose users share a 9 Mbps link. Each user consumes 1.5 Mbps when transmitting, and only transmits with probability 0.2. a) How many users can be supported using circuit switching? b) Assume packet switching for the rest of the problem. What is the probability that 7 out of 10 users are transmitting? c) What is the maximum number of users, such that the probability of exceeding the link capacity is no more than 0.01? Hint: Gradually increase the number of users and evaluate the probability of exceeding the link capacity for each value of this number.