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 0.05 of messages being lost, what is the maximum number of users we can support?

A company has a dedicated link of 100 Mbps. Each employee, when online, transmits continuously at...
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...
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...
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...
R15. Suppose users share a 2Mbps link. Also suppose each user transmits continuously at 1Mbps when transmitting, but each user transmits only 20 percent of thetime.a. When circuit switching is used, how many users can be supported?b. For the remainder of this problem, suppose packet switching is used. Why there be essentially no queuing delay before the link if two or fewer users transmit at thesame time? Why will there be a queuing delay if three users transmit at 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...
QUESTION 1 "A single router is transmitting packets, each of length L bits, over a single link with transmission rate R Mbps to another router at the other end of the link. Suppose that the packet length is L= 12000 bits, and that the link transmission rate along the link to router on the right is R = 1000 Mbps. What is the maximum number of packets per second that can be transmitted by the link (use a whole number)?"...
help with computer network questions 1. What is the difference between circuit switching and packet switching? 2. What are the different layers in today’s Internet? Why do we create layers? 3. Suppose there is a 10 Mbps microwave link between a geostationary satellite and its base station on Earth. Every minute the satellite takes a digital photo and sends it to the base station. Assume a propagation speed of 2.4 * 10^8 meters/sec. a. What is the propagation delay of...