suppose users share a 2 Mbps link. each transmits continuously 1Mbps when transm

Question

suppose users share a 2 Mbps link. each transmits continuously 1Mbps when transmitting. assume that at any given time the probability that a user is transmitting is 0.2 as such an event is independent of the events of the other users transmitting.
i) assume that packet switching is use and three users are sharing the channel. assumed that the three users are transmitting at a given time what is the effect on the system?
a)the system will block the user that last arrives in the system since they cannot establish a circuit for all three users
b) the system will Reserve resources for all three users but no more users with be accepted.
c)Queues in the various routers will grow while there are three users transmitting and the occupancy in the queue will reduced when less than two users transmit
d) queues in the various routers will decrease while there are three users transmitting and the occupancy in the queue will grow when less than two users transmit
ii) assume that packet switching is used and 4 users are sharing the channel. What is the probability that at any given time, there are exactly three users transmitting?
a).371
b).0256
c).000015
d).142

Explanation / Answer

there will be no queue delay if two or less users are tranmitting since b.w is 2MBps and each user transmit 1MBps

but is 3 users transmit concurrently then They will transmit 3 Mps beacuse of which queue delay will increase

answer -c

2)

= 4 choose 3 * p^3*(1-p)^(4-3)= (4!/3!*(4-3)!)*0.2^3*0.2=4*0.0008*0.8=0. 256

answer-b

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