With reference to Exercise 3.34, suppose that the questionnaire filled in by one of the 150 persons is to be double-checked. If it is chosen in such a way that each questionnaire has a probability of \(\frac{1}{150}\) of being selected, find the probabilities that the person

(a) lives more than 3 miles from the center of the city;

(b) regularly drives his or her car to work;

(c) does not live more than 3 miles from the center of the city and would not want to switch to public mass transportation if it were available;

(d) regularly drives his or her car to work but would gladly switch to public mass transportation if it were available.

Data From  Exercise 3.34 

3.34 Among 150 persons interviewed as part of an urban mass transportation study, some live more than 3 miles from the center of the city (A), some now regularly drive their own car to work (B), and some would gladly switch to public mass transportation if it were available (C). Use the information given in Figure 3.11 to find (a) N(A); (b) N(B); (c) N(C); (d) N(ANB); 2 16 20 A B 8 54 6 14 #C 27 S