An auto manufacturer has studied the choice of options available to customers when ordering a new vehicle. Of the customers who order a car, 25% choose a sunroof, 35% choose a leather interior, and 10% choose both. (The rest opt for neither.) Of the customers who order a truck, 20% choose an extended cab, 40% choose all-wheel drive, and 15% choose both. You cannot get a sunroof on a truck or an extended cab on a car. For this brand, half of the customers who order a vehicle choose a truck.
(a) Organize these probabilities as a probability tree or probability table. Explain why you picked a tree or a table.
(b) What’s the probability that the customer orders a vehicle with a sunroof?