Description: We learned in class that the Receiver Operator Characteristic curve $($ROC$)$ gives us all the information we need to distinguish sensitivity from the willingness to respond $($so$-$called, criterion$).$ In the ROC plot below, three different curves are drawn.

Question: Given the ROC curves below, please $1)$ draw an approximation of the hypothetical "noise" and "signal" probability distributions $($on right graphs$)$ as a function of internal response $($as we drew in class$)$ for each of the three ROC curves $($on left$)$; $2)$ mark which curve $($on ROC$)$ demonstrates the most sensitive of your sensors; and $3)$ mark a point on the drawn ROC curve $"$B$"$ that represents a "liberal" detector.