Question

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?

Answer 1

Answer please don't dislike Given that . A company has dedicated link of 100 MBPS. Each employee, when online, transmits continuosly at 12Mbps. when active, But each user is active only 207 of the time. : Hence, The effeclive rate at which user transmilts =12*0.2 = 2.4 Mbps. The no.of users supported : overall link jate user transmit rate .: 100 -446667 (2) probability that more than two users are transmilting at the same time : p*(1-2)*-* consider three users are transmitting at the same time = (3) p (1-2)*** = 1x (2-4)3 (1-2.60 = 1x02.4.3 = 33.824 (6) Maximum number of users eve can support under pocket switching is 42