Suppose users share a 1 Mbps link. Also suppose each user requires 100kbps when transmitting, but each user transmits only 10 percent of the time. a. When circuit switching is used, how many users can be supported? b. For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting. c. Suppose there are 40 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. d. Find...
19. Suppose users share a 3 Mbps link. Also suppose each user requires 150 kbps when transmitting, but each user transmits only 20 percent of the time, suppose packet switching is used and there are 225 users. Note: As we did in class use the Binomial to Normal distribution approximations (and the empirical rules µ±1σ =0.6826, µ ±2σ =0.9544, µ ±3σ =0.9973) to approximate your answer. (Always draw the sketch of the normal distribution with the µ and σ) Find...
A company has a dedicated link of 100 Mbps. Each employee, when online, transmits continuously at 12 Mbps when active, but each user is active only 20 percent of the time. How many users can the link support when circuit switching is used? For the remainder of this problem, suppose packet switching is used. What is the probability that more than 2 users are transmitting at the same time? Now suppose that the system will drop any packets if it...
A company has a dedicated link of 100 Mbps. Each employee, when online, transmits continuously at 12 Mbps when active, but each user is active only 20 percent of the time. Assume packet switching is used. (a) What is the probability that more than 2 users are transmitting at the same time? (b) Suppose that the system will drop any packets if it's utilized at 100% capacity without queuing them. If we need to guarantee a probability of at most...
Question requires a little bit of background in probability: Consider the two scenarios below: ▪ A circuit-switching scenario in which Ncs users, each requiring a bandwidth of 25 Mbps, must share a link of capacity 200 Mbps. ▪ A packet-switching scenario with Nps users sharing a 200 Mbps link, where each user again requires 25 Mbps when transmitting, but only needs to transmit 20 percent of the time. Answer the following: a. When circuit switching is used, what is the...
Suppose that multiple users share a 1 Mbps link. Each user has a data rate of 200 b) kbps when "active", and each user is active 10% of the time. When circuit switching is used to allocate resources on the shared link, how (2) (i) many users can be supported? When packet switching is used and the total number of users is 20, what is (ii) the probability that more than 5 users are active simultaneously? (3) What are the...
Suppose that multiple users share a 1 Mbps link. Each user has a data rate of 200 b) kbps when "active", and each user is active 10% of the time. When circuit switching is used to allocate resources on the shared link, how (2) (i) many users can be supported? When packet switching is used and the total number of users is 20, what is (ii) the probability that more than 5 users are active simultaneously? (3) What are the...
Suppose that multiple users share a 1 Mbps link. Each user has a data rate of 200 b) kbps when "active", and each user is active 10% of the time. When circuit switching is used to allocate resources on the shared link, how (2) (i) many users can be supported? When packet switching is used and the total number of users is 20, what is (ii) the probability that more than 5 users are active simultaneously? (3) What are the...
Problem 3 Suppose users share a 9 Mbps link. Each user consumes 1.5 Mbps when transmitting, and only transmits with probability 0.2 How many users can be supported using circuit switching? Assume packet switching for the rest of the problem. What is the probability that 7 out of 10 users are transmitting? What is the maximum number of users, such that the probability of exceeding the link capacity is no more than 0.01? Hint: Gradually increase the number of users...
3. Suppose there is exactly one packet switch (or router) between a sending host and a receiving host. The transmission rates between the sending host and the switch and between the switch and the receiving host are R1 = 1Mbps and R2 = 2Mbps, respectively. Assuming that the switch uses store-and-forward packet switching, what is the total end-to-end delay to send a packet of length 18000bits? Assume that the propagation speed is 2 * 108 meters/sec, the distance between source...