A circuit-switching scenario in which Ncs users, each requiring a bandwidth of 2

Question

A circuit-switching scenario in which Ncs users, each requiring a bandwidth of 25 Mbps, must share a link of capacity 100 Mbps.

• A packet-switching scenario with Nps users sharing a 100 Mbps link, where each user again requires 25 Mbps when transmitting, but only needs to transmit 10 percent of the time.

What is the probability that a given (specific) user is transmitting, and the remaining users are not transmitting?

What is the probability that one user (any one among the 7 users) is transmitting, and the remaining users are not transmitting? When one user is transmitting, what fraction of the link capacity will be used by this user?

Explanation / Answer

The probability that a given specific user is transmitting is computed as follows:

The probability that one user (any one among the 7 users) is transmitting is computed as follows:

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