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2. (8 points) Quadratic Discriminant Analysis Let TA and ag denote P(Y = A) and P(Y = B), respectively. Also let (RA, 02 ), (UB, O?) denote means and variances of classes A and B, respectively. (a) (4 points) Using the reference below show that, under QDA, P(Y = A|X = x) > P(Y = BIX = x) is equivalent to 20 13 202 + (HA - up ) + 20 13 20% HA ) + log ( TAGE ) > 0. TBOA (b) (4 points) Suppose you are given the following data set: -5 -4 -1 0 0 1 5 8 y AABBBBAA Let the decision boundary be P(Y = AX = x) = P(Y = BIX = x). Using the data above, determine the decision rule under QDA