Please help!

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 ifX s 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, 0.25). 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? (Hint:What is the distribution ofX if the true message is zero?) Round your answer to four decimal places