An auto dealer sells several brands of domestic and foreign cars in several price ranges. The brands sold by the dealer are Saturn, Pontiac, Buick, Acura, and Ferrari. The prices of cars range from under $20,000 to well over $100,000 for a luxury car. Define the event D = {Saturn, Pontiac, Buick} and C = {price above + 60,000}.
(a) Does the sale of a Ferrari lie in the union of D with C?
(b) Do you think it’s appropriate to treat the events D and C as independent?
(c) If all of the models of Saturn, Pontiac, and Buick vehicles sold cost less than $55,000, then what is the probability of the event D and C?