Figure 6 20 is a graph that represents a communication network, where the nodes are receiver repeater boxes and the edges (or links) represent communication channels, which, if connected, convey the message perfectly However, there is the probability q 1 p that it will be whole Use a tree diagram like Figure 6 2 Figure 6 20 Figure 6 2 (a) What is the probability that at least one working path is available between the nodes labeled A and B (b) Remove link 4 Now what is the probability that at least one working path is available between nodes A and B (c) Remove link 2 What is the probability that at least one working path is available between nodes A and B (d) Which is the more serious situation, the removal of link 4 or link 2 Why 3 (2) (1) (5) 49 Other 48 Other Other (Success) 48 Other (Success) Other (Success) Other Other 48, Other (Success) (Success) Other (47) Other 48A Other (Success) 46 48 Other Other (46 Other 49 () () Other 48, Other 48 (Success) (Success) Other 46 48 Other (Success) Other Other 48, Other 45 Other Other (Success) 46 48 3 48 Other Other (49, Other Other 49 Other Other 48 Other Other 19

Question: Figure 6.20 is a graph that represents a communication network, where the nodes are receiver/repeater boxes and the edges (or links) represent communication channels, which,

Figure 6.20 is a graph that represents a communication network, where the nodes are receiver/repeater boxes and the edges (or links) represent communication channels, which, if connected, convey the message perfectly. However, there is the probability q = 1 - p that it will be whole.
Use a tree diagram like Figure 6.2.

Figure 6.20.

Figure 6.2.

(a) What is the probability that at least one working path is available between the nodes labeled A and B?

(b) Remove link 4. Now what is the probability that at least one working path is available between nodes A and B?

(d) Which is the more serious situation, the removal of link 4 or link 2? Why?

3 (2) (1) (5) 49 Other 48 Other Other (Success) 48. Other (Success) Other (Success) Other Other 48, Other (Success) (Success) Other (47) Other 48A Other (Success) 46 48 Other Other (46 Other 49. () () Other 48, Other 48. (Success) (Success) Other 46 48 Other (Success) Other Other 48, Other 45 Other Other (Success) 46 48 3. 48 Other Other (49, Other Other 49 Other Other 48 Other Other +19

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