Suppose users share a $10$Mbps link. Also suppose each user requires $200$kbps when transmitting, but each user transmits only $10$ percent of the time. a$.$ Suppose packet switching is used. Find the probability that a given user is transmitting.Suppose users share a $10Mbps$ link. Also, suppose each user transmits at $2Mbps$ when transmitting,

but each user transmits only $25\%$ of the time.

a$.$ Assume K users are sharing the link. Compute the probability that no user transmits.

b$.$ If circuit switching is used for this network, what is the maximum number of users it can support?

Justify your answer. Does the burstiness of users' traffic have an effect in this case? Why?

c$.$ Suppose packet switching is used.

Case I: Will network congestion arise if five users send data at the same time? Why?

Case II: Will network congestion arise if six users send data at the same time? Why?

d$.$ Suppose $K=7.$ Find the probability that at any given time, all users are transmitting simultaneously.

Find the fraction of time during which congestion occurs.