3. A binary message is transmitted as a signal S, which is either - 1 or + 1. The probability that + 1 was sent is .4, the probability that - 1 was sent is .6. The communication channel corrupts the transmission with additive normal noise with Ī¼ = .05 and variance Ļ^2 = .3. The receiver concludes that the signal + 1 was transmitted if the value received is > 0, and that the signal was - 1 if the value received is < 0. What is the probability of error ?
Hint: denote value received as X, and use X = S + Y, where Y....