Think of the differences between circuit-switching and packet-switching paradigms in the Internet core design. Assume an Internet Service Provider (ISP) has an access link with 500 Mbps capacity and, at any given time, only 1% of its customers are active. However, during that active period, users generate data at a constant rate of 20 Mbps. Assume that there is a total of 100 customers of this ISP. i. What is the maximum number of users the ISP can serve if it is implementing a circuit-switching strategy?
ii. What is the probability that 1 user will be active?
iii. What is the probability that more than 1 users will be active?
iv. What is the probability that more than 2 users will be active?
v. What is the probability the ISP will not be able to serve some users (i. e., more than 25 users being active) if it is implementing a packet-switching strategy?