1 Gaussan Classification Let P(x | Ci) ~ Ni,2) for a two-category, one-dimensional classification problem with classes C1 and C2, PC) P(C2 1/2, and 2 > (a) Find the Bayes optimal decision boundary and the corresponding Bayes decision rule. (b) The Bayes error is the probability of misclassification, Pe -P(misclassified as C)| C2) P(C2)+P((misclassified as C2) | C1) PC1) Show that the Bayes error associated with this decision rule is 2dz where a