3. Obtain the optimal decision boundary in the Gaussian model with P(Y = 0) = P(Y : 1) and 01]- l 2 0 (a) m) = our", #1 = (2,0)3'120 = [0 1 ON) 430 in O 1 0 l (b) #0 = (0,0)T, m : (2,0)? 20 = [3 2], 21: (c) #0 = (0,0)? m = (0,0)? 20 : l0 1] 02' 10 02' In each case draw the optimal decision boundary, along with the class means and class conditional density contours, indicating the 0- and 1-decision regions. lIWIlll O 2 0 (d) #0 = (0,0)? m = (0,0)T, 20 = [0 I], 21 =