Saanvi Phougat 2022-09-28
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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 1 is transmitted; the probability that a transmitted 0 is correctly received is 0.90 ; the probability that 1 is correctly received 0.95 . This information is illustrated in Figure 1 where 1 . 0 . 1 . 0 . A event that is transmitted A event that is transmitted B event that is received B event that is received = = = = Figure 1: A single-stage binary communication channel a. Find P B( ) and P B( ) and P A B ( ) b. If P B A P C B ( ) ( ) = and P B A P C B ( ) ( ) = , find P C B ( ) and P C B ( ) c. Illustrate all the information on a two- stage binary communication channel in figure 2 below. 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 P C( )

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