1. Suppose you go for a medical checkup. Doctor administers a test to you for a serious disease. The test is 95% accurate (when tested on 100 patients with the disease, it identifies 95 of them as positive). It also is 99% accurate in identifying patients who do not have a disease (when tested on 100 disease free people, it only calls 1 out of 100 as positive) Assuming that you tested positive, which of the following are true? a) If the false alarm rate of the test goes up (the quality becomes poorer), my chances of having the disease stays the same b) 0 If it is a rare disease (1 in 100 chance), there is close to 50% chance of actually having the disease c) If it is a moderately rare disease (10 in 100 chance), there is close O to 10% chance of actually having the disease d) If the false alarm rate of the test goes up (the quality becomes O poorer), my chances of having the disease goes up 2. Consider the following figures Note that the points in (c) are on a straight line Let the hypothesis space H be the set of circles. Answer the following questions a) Points in (a) are shattered by H O O b) Points in (a) are not shattered by H. c) The VC dimension of H is exactly 2 d) The VC dimension of H is infinite