l: Question 1 3.33 pts Suppose that 23% of adults belong to health clubs, and 32% of these health club members go to the club at least twice a week. Find the probability that a randomly selected adult belongs to a health club and goes there at least twice a week. (Round to 3 decimal places) Question 2 3.33 pts A university professor fails 20% of his students in the final. After the final, he polls the students and asks how many of them studied more than 3 hours for it. Of those who passed the final, 72% said that they studied for it. Of those who failed the final, 31% said they studied for it. Make a tree diagram for this problem and then answer the following question. What is the probability that a student failed the test given that they studied?Many employers require prospective employees to take a drug test. A positive result on this test suggests that the prospective employee uses illegal drugs. However, not all people who test positive use illegal drugs. The test result could be a false positive. A negative test result could be a false negative if the person really does use illegal drugs. Suppose that 4% of prospective employees use drugs, and that the drug test has a false positive rate of 5%, and a false negative rate of 10%. Imagine choosing a prospective employee at random. Make a tree diagram for this problem and then answer the following question. Given that the drug test result is positive, nd the probability that the prospective employee uses illegal drugs. (Round to 3 decimal places)