Among 200 persons interviewed as part of an urban mass transportation study, some live more than 5 miles from the center of the city (X), some now regularly drive their own car to work (Y), some would gladly switch to public mass transportation if it were available (Z). Use the information given in the below figure to find the probabilities the person a) Lives more than 5 miles from the center of the city b) Lives more than 5 miles from the center of the city given that he or she would gladly switch to public mass transportation c) Regularly drives his or her car to work given that he or she lives more than 5 miles from the center of the city d) Would not want to switch to public mass transportation given that he or she does not regularly drive his or her car to work S 30 20 12 y X 60 8 19 31 20 z