Q5\a simple binary communication channel carries messages by using only two signals, say 0 and 1. We assume 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 and the probability that a transmitted 1 is correctly received is 0.95. Determine (a) the probability of a 1 being received (b) given a 1 is received, the probability that 1 was transmitted. (c) given a 0 is received, the probability that 0 was transmitted. (d) given a 0 is received, the probability that 1 was transmitted.

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Q5\a simple binary communication channel carries messages by using only two signals,
say 0 and 1. We assume 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 and the
probability that a transmitted 1 is corectly received is 0.95.
Determine
(a) the probability of a l being received
(b) given a 1 is received, the probability that 1 was transmitted.
(c) given a 0 is received, the probability that 0 was transmitted.
(d) given a 0 is received, the probability that 1 was transmitted.
Transcribed Image Text:Q5\a simple binary communication channel carries messages by using only two signals, say 0 and 1. We assume 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 and the probability that a transmitted 1 is corectly received is 0.95. Determine (a) the probability of a l being received (b) given a 1 is received, the probability that 1 was transmitted. (c) given a 0 is received, the probability that 0 was transmitted. (d) given a 0 is received, the probability that 1 was transmitted.
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