Suppose users share a 2Mbps link. Also suppose each user requires 300Kbps when t

Question

Suppose users share a 2Mbps link. Also suppose each user requires 300Kbps when transmitting, but each user transmits only 10% of the time.

When circuit switching is used, how many users can be supported?  

For the remainder of the problem, suppose packet switching is used. Find the probability that a given user is transmitting.

Suppose there are 20 users. Find the probability that at any given time, exactly n users are transmitting simultaneously.

Find the probability that there are 7 or more users transmitting simultaneously.

Explanation / Answer

Suppose users share a 2Mbps link. Also, suppose each user requires 300Kbps when transmitting, but each user transmits only 10% of the time.

When circuit switching is used, how many users can be supported?  

Answer- 6 users can be supported because each user requires one-sixth of the bandwidth.

For the remainder of the problem, suppose packet switching is used. Find the probability that a given user is transmitting.

Answer- p = 0.1

Suppose there are 20 users. Find the probability that at any given time, exactly n users are transmitting simultaneously

Answer- (20/n) pn(1-p)20-n

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