Circuit and Packet switching problem

[8 points] We discussed circuit/packet switching using an example where a link of capacity 1 Mbps was shared by multiple users. Each user uses 100 kbps when active. Consider 35 users sharing the link with each user being active with probability 0.1 (i.e. active 10% of the time). Note, if 17 users choose to transmit, then 7 would be blocked. (Try not to truncate the answers for the following questions.) a. How many users can be use the link simultaneously if circuit switching is used? b. Can 35 users share the link if packet switching is used? Explain. c. Calculate the probability that no user was active during a particular time d. Calculate the probability that exactly 1 user was active during a particular time e. Likewise, calculate the probability that 2, 3, 4, 35 users was active during a particular time f. For (c), (d) and (e), you would obtain 36 probability values. Plot these probabilities on the y-axis with 0 through 35 on the xaxiz. You can use excelmatlab or any other program for obtaining the plot. What is the probability that there are 10 or less users active at any point of time? If throughput is defined as the amount of traffic being carried on the link, then calculate the expected throughput of the link when 35 users share the link using packet switching g. h. [8 points] We discussed circuit/packet switching using an example where a link of capacity 1 Mbps was shared by multiple users. Each user uses 100 kbps when active. Consider 35 users sharing the link with each user being active with probability 0.1 (i.e. active 10% of the time). Note, if 17 users choose to transmit, then 7 would be blocked. (Try not to truncate the answers for the following questions.) a. How many users can be use the link simultaneously if circuit switching is used? b. Can 35 users share the link if packet switching is used? Explain. c. Calculate the probability that no user was active during a particular time d. Calculate the probability that exactly 1 user was active during a particular time e. Likewise, calculate the probability that 2, 3, 4, 35 users was active during a particular time f. For (c), (d) and (e), you would obtain 36 probability values. Plot these probabilities on the y-axis with 0 through 35 on the xaxiz. You can use excelmatlab or any other program for obtaining the plot. What is the probability that there are 10 or less users active at any point of time? If throughput is defined as the amount of traffic being carried on the link, then calculate the expected throughput of the link when 35 users share the link using packet switching g. h