A binary communication channel carries data as one of the two types of signals denoted by 0 and 1. Owing to noise, a transmitted 0' is sometimes received as 1 and a transmitted 1 is sometimes received as 0. For a given channei assume a probability of 0.94 that a transmitted 0' is correctly received as a 0' and a probability of 0.91 that a transmitted 1 is received as I. Further assume a probability of 0.45 of transmitting a 0'. If a signal is sent, determine.(a) Probability that a 1 is received(b) Probability that a 0 is received

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1 A binary communication channel carries data as one of the two types of signals
denoted by 0 and 1. Owing to noise, a transmitted 0' is sometimes received as 1
and a transmitted 1 is sometimes received as 0. For a given channel assume a
probability of 0.94 that a transmitted 0' is correctly received as a 0' and a
probahility of 0.91 that a transmitted 1 is received as I. Further assume a
probability of 0.45 of tranESmitting a 0'. If a signal is sent, determine.(a)
Probability that a I is received(b) Probability that a 0 is received
Transcribed Image Text:1 A binary communication channel carries data as one of the two types of signals denoted by 0 and 1. Owing to noise, a transmitted 0' is sometimes received as 1 and a transmitted 1 is sometimes received as 0. For a given channel assume a probability of 0.94 that a transmitted 0' is correctly received as a 0' and a probahility of 0.91 that a transmitted 1 is received as I. Further assume a probability of 0.45 of tranESmitting a 0'. If a signal is sent, determine.(a) Probability that a I is received(b) Probability that a 0 is received
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