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a Question 2 A simple binary communication channel carries messages by using two signals 0 and 1. It was assumed that for a given binary channel, 40% of the time a I is transmitted, the probability that a transmitted 0 is correctly received is 0.90; the probability that is correctly received 0.95. This information is illustrated in Figure 1 where A = event that 1 is transmitted. Ā= event that is transmitted. B = event that 1 is received. B = event that 0 is received. A B Ā B
a. Find P(B) and P(B) and P(A/B) b. If P(B/A)=P(C/B) and P(BA)=P(C/B), find P(C/B) and PC/B) c. Illustrate all the information on a two-stage binary communication channel in figure 2 below. А B В с Ā 100 B 10 Figure 2: A two-stage binary communication channel d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with their respective probability. e. Find P(ABC), P(C) and PC)