MY N A study of the impact of seeking a second opinion about a medical condition is described in a paper. Based on a review of a certain number of patient-initiated second opinions, the paper state "Second opinions often resulted in changes in diagnosis (13.8%), treatment (36.4%), or changes in both (9.6 %).") Consider the following two events. D= second opinion results in a change in diagnosis T = second opinion results in a change in treatment (a) What are the values of P(D), P(T), and P(DT)? P(D) = 0.138 P(T) = 0.364 P(DT) = = 0.096 (b) Use the given probability information to set up a hypothetical 1,000 table with columns corresponding to D and not D and rows corresponding to T and not T. Change in Diagnosis (D) No Change in Diagnosis (not D) 268 364 Change in Treatment (7) 96 594 636 No Change in Treatment (not 7) 42 Total 138 862 (c) What is the probability that a second opinion results in neither a change in diagnosis nor a change in treatment? 0.548 x (d) What is the probability that a second opinion results in a change in diagnosis or a change in treatment? 0.452 x Total 1,000