Consider the difference between circuit switching and packet switching. Assume the links rate is 1 Mbps and users are generating data at a rate of 500Kbps when busy. Users are active 20% of time. Show your work.

a. What is the maximum number of users that a circuit switching architecture can support simultaneously?

b. Assuming a packet switched architecture with the maximum number of total users as calculated from a. What is the probability that exactly 3 of the users are active at the same time? (hint: review the interactive problems for quantitative comparison of circuit and packet switched networks)

c. Explain the potential negative performance impacts of having many more users in a packet switching architecture with the above characteristics.