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.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5