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(5) 3. A binary message is transmitted as a signal S, which is either 1 or + 1. The probability that + 1 was sent

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(5) 3. A binary message is transmitted as a signal S, which is either 1 or + 1. The probability that + 1 was sent is .3, the probability that 1 was sent is .7. The communication channel corrupts the transmission with additive normal noise with ,u = .05 and variance 02 = .2. The receiver concludes that the signal + l was transmitted if the value received is > 0, and that the signal was 1 if the value received is

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