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 corectly received is 0.90; the probability that lis correctly received 0.95. This information is illustrated in Figure 1 where A= event that 1 is transmitted. A= event that 0 is transmitted. B = event that 1 is received. B = event that 0 is received. A B A Figure 1: A single-stage binary communication channel

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with
their respective probability.
Transcribed Image Text:d. Illustrate the two-stage binary communication channel in c. above on a tree diagram with their respective probability.
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 corectly received is 0.90; the probability that lis correctly received 0.95. This
information is illustrated in Figure 1 where
A= event that 1 is transmitted.
A= event that 0 is transmitted.
B = event that 1 is received.
B = event that 0 is received.
A
B
A
Figure 1: A single-stage binary communication channel
Transcribed Image Text: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 corectly received is 0.90; the probability that lis correctly received 0.95. This information is illustrated in Figure 1 where A= event that 1 is transmitted. A= event that 0 is transmitted. B = event that 1 is received. B = event that 0 is received. A B A Figure 1: A single-stage binary communication channel
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