1. Draw a Venn diagram. Draw a Venn diagram that shows the relation between the events A and Bin Exercise 4.106. Indicate each of the following events on your diagram and use the information in Exercise 4.106 to calculate the probability of each event. Finally, describe in words what each event is.
(a) {A and B}
(b) {Ac and B}
(c) {A and Bc}
(d) {Ac and Bc}
2. Sales of cars and light trucks. Motor vehicles sold to individuals are classi?ed as either cars or light trucks (including SUVs) and as either domestic or imported. In a recent year, 69% of vehicles sold were light trucks, 78% were domestic, and 55% were domestic light trucks. Let A be the event that a vehicle is a car and B the event that it is imported.
Write each of the following events in set notation and give its probability.
(a) The vehicle is a light truck.
(b) The vehicle is an imported car.