There are 200 patients in the trial; 20 are randomly assigned to the Placebo group and 60 are randomly assigned to each of the experimental groups. Pa tients will be monitored for 6 months to see if they contract H1N1. Physicians in charge of the trial have conjectured that o 15 percent of the Placebo patients will contract H1N1 in 6 months 0 8 percent of the Experimental 1 patients will contract H1N1 in 6 months I 4 percent of the Experimental 2 patients will contract H1N1 in 6 months 0 1 percent of the Experimental 3 patients will contract H1N1 in 6 months. (a) Suppose that a patient in the trial is selected at random. What is the probability that the patient contracts H1N1 within 6 months? (b) Suppose that a patient contracts HlNl Within 6 months. What is the probability that this patient was assigned to the Placebo group? (c) Suppose that a patient does not contract H1N1 Within 6 months. What is the probability that this patient was assigned to the Experimental 3 group