Problem 4 Censider a binary classicatiOn problem with 1dimensional feature Space R with base distribution D over IR x {0,1}. Suppose that the data generating process (prior to any strategic adaptation) takes the following form: X|Y=1~N(1,1) X|Y=0~N(0,1). In this problem, we examine preperties of decision rules f : 1R ) {0,1} in the presence of strategic adaptation. The loss function that we consider is y, y') = 0 if y = y' and 1 otherwise. Assume that the cost function is of the form c(:rl, 3:2) = lav-1 mgl; assume also that agents change their features according to the \"standard model\