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Consider a binary(M=2) communication system using the Bayes decision (receiver), where 

Find
a) optimum decision (receiver) rule
b) = False alarm = the probability of an error of the first kind in terms of the error function defined by
 
 
 
c) = the probability of an error of the \sec ond kind in terms of the error function
d) decision Bayes risk (the average overall error probability per decision) in terms of the error function

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