It is believed that 4% of a clinic’spatients have cancer. A particular blood test yields a positive result for 99% of patients with cancer, but it also shows positive for 3% of patients who do not have cancer. a.Fill in the probabilities on the branches of the probability tree below that describes the Clinic's patients. b.One patient is chosen at random from the Clinic's patient list and is tested. What is the probability that the person has cancer, given that the test result is positive?