Consider an application scenario where a number of users need to share a communication link of capacity 100 Mbps. Each user requires 10 Mbps when transmitting, but only needs to transmit with the probability p=10 % of the time. (a) Determine N, the maximum number of users that can be supported simultaneously if circuit switching is used. What is the data rate allocated to each user if Time Division Multiplexing (TDM) is used for circuit switching? What is the data rate allocated to each user if Frequency Division Multiplexing (FDM) is used? (b) Now suppose packet switching is used by M (M>N, N is defined in (a) ) users in this system. Give the formula of the probability (in terms of p, M, n) that a group of n specific users are transmitting, and the remaining users are not transmitting? Give the formula of the probability (in terms of p, M, n) that a group of any n users are transmitting, and the remaining users are not transmitting? (c) For packet switching, again, assume M (M>N, N is defined in (a)) users share this packet switching system, give the formula (in terms of p, M, N) of the probability that at any given time, N+1 or more users are transmitting simultaneously. Consider an application scenario where a number of users need to share a communication link of capacity 100 Mbps. Each user requires 10 Mbps when transmitting, but only needs to transmit with the probability p=10 % of the time. (a) Determine N, the maximum number of users that can be supported simultaneously if circuit switching is used. What is the data rate allocated to each user if Time Division Multiplexing (TDM) is used for circuit switching? What is the data rate allocated to each user if Frequency Division Multiplexing (FDM) is used? (b) Now suppose packet switching is used by M (M>N, N is defined in (a) ) users in this system. Give the formula of the probability (in terms of p, M, n) that a group of n specific users are transmitting, and the remaining users are not transmitting? Give the formula of the probability (in terms of p, M, n) that a group of any n users are transmitting, and the remaining users are not transmitting? (c) For packet switching, again, assume M (M>N, N is defined in (a)) users share this packet switching system, give the formula (in terms of p, M, N) of the probability that at any given time, N+1 or more users are transmitting simultaneously