Construct the ROC curves for

(a) the toy example in Section 5.4.2 with complete separation and

(b) the dataset (n = 8) that adds two observations at x = 3.5, one with y = 1 and one with y = 0. In each case, report the area under the curve and summarize predictive power. For contrast, construct a toy dataset with n = 8 for which the area under the ROC curve equals 0.50.