Read the CEA Test article on the next page is about the potential recurrence of colon cancer in patients who have previously undergone surgery for colon cancer. There is a large percent [4t]%) of false negatives and a large percent (sorts) offalse positives. Notice that the article does not mention what percent of patients being tested with this test. actually have a recurrence of colon cancer. {Try to answer the questions yourself, then see the last page for information on the solutions to a c.) a) Create a tree diagram for the situation of testing a patient. Since we do not I'CnDW the chance the patient will have a recurrence, let p = actual percent of patients who have had the cancer reoccur. b) Using your tree diagram. what is the probability. in terms of p, that a patient has had a recurrence of colon cancer, lotowing that the CEA test is positive? c) Using your answer to part b. determine what is the probability for recurrence is. if reality is p= 5%? p = 1t]%'? p=2%? Fame