Question 2: Conditional ProbabilityCEA Test This video discusses conditional probability: Conditional Probability. 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 (40%} of false negatives and a large percent (20%) of false 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 know the chance the patient will have a recurrence, let p = actual percent of patients who have had 1he 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, knowing 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 = 10%? p=20%? p=30%? d) State the definitions of accurate and reliable measurements. (Phase V) From what is discussed in the article. Explain whether the CEA test is accurate, inaccurate or you can't say. Then explain if it is reliable, unreliable or you can't say