Round your answers to four decimal places. A binary message m, where m is equal

Question

Round your answers to four decimal places. A binary message m, where m is equal either to 0 or to 1, is sent over an information channel. Because of noise in the channel, the message received is X. where X = m + E, and E is a random variable representing the channel noise. Assume that if X 0.5 then the receiver concludes that m = 0 and that if X > 0.5 then the receiver concludes that m = 1. Assume that E ~ N(0, 0.20). If the true message is m = 0, what is the probability of an error, that is, what is the probability that the receiver concludes that m = 1?

Explanation / Answer

dude i am pretty sure this is right! please go through the steps and try to understand them.. i might be making some blunder BUT THE STEPS ARE DEFINITELY RIGHT z = 0.5/0.2 = 2.5 P(z>2.5) = 1 - 0.994) = 0.006 P(error) = 0.006/0.5 = 0.012 --> prob of error

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