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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 0is correctly 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 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 0is correctly 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

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 62E: Is it possible that P(AB)=P(A)? Explain.
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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 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
a. Find P(B) and P(B) and P(A|B)
Transcribed Image Text:a. Find P(B) and P(B) and P(A|B)
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