Say we have a classifier that, if X1=0, flips a biased coin; with probability p0 the coin is heads. If the coin is heads we predict Y=1; otherwise, we predict Y=0. If X1=1, we flip a different biased coin; with probability p1 the coin is heads. If this coin is heads we predict Y=1 and otherwise we predict Y=0. Say that Pr( X1 = 1 | Y=1) =0.3 and Pr( X1=1 | Y=0 ) = 0.6. What is the false positive rate of our classifier? What is the false negative rate?