Suppose users share a 2 mbps link. also suppose each user transmits continuously at 1 mbps when transmitting, but each user transmits only 20 percent of the time. (consider statistical multiplexing discussed in lecture.) (a) (3 points) when circuit switching is used, how many users can be supported? (b) (3 points) for the reminder of this problem, suppose packet switching is used. why will there be essentially no queuing delay before the link if two or fewer users transmit at the same time? why will there be a queuing delay if three users transmit at the same time? (c) (3 points) find the probability that a given user is transmitting. (d) (6 points) suppose now there are three users. find the probability that at any given time, all three users are transmitting simultaneously.

Prove that the sum of two consecutive exponents of the number 5 is divisible by 30.if two consecutive exponents are 5n and 5n + 1, then their sum can be written as 30.

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.