Solution 1
Probability of failure of the system is
Pf = 1-Pw
where Pw is the probability that the system works. This event is true if all the elements of the system A work. The probability that a link works is 1-Pl; that a repeater works is 1-Pr. These events are all independent, so the probability that the system works is the product of probabilities of these separate events:Pw = [(1-Pl)(1-Pr)]90
And then the probability that two stations will not be able to communicate isPf =1- ((1-Pl)(1-Pr))90