A national corporation schedules a sales meeting in Detroit and reserves hotel rooms, some of which allow smoking in the room and the rest of which are nonsmoking rooms. Access to the exercise room is available for an added fee. Past records show that 30% of sales persons request smoking rooms and 70% request nonsmoking. Of those requesting smoking rooms, 40% want access to exercise equipment. Of those requesting nonsmoking rooms, 65% want access to exercise equipment. A person requests a room reservation but fails to specify smoking or nonsmoking and does not indicate if access to exercise equipment is wanted. Find the probability that (a) the person prefers a smoking room and wants access to exercise equipment.
(b) The person wants access to exercise equipment.