10. (HW2, Ch5.7) At Dolon General Hospital, 30 percent of the patients have Medicare insurance P(M)=0.3, while 70
percent do not have Medicare insurance P(M')=0.7. Suppose 20 percent of the Medicare patients arrive at this hospital by ambulance P(A|M)=0.2, compared with 10 percent of the non-Medicare patients P(A|M')=0.1. Given that a patient arrives at this hospital by ambulance, use the Bayes' Theorem to find the probability that this patient has Medicare Insurance P(M|A).