All of the following statements refer to new vehicles (automobiles, SUVS, and light trucks) sold in the US in 2017. Electric vehicles (plug in hybrid and battery powered) made up 1.2% of all vehicles sold. The Tesla Model S was the most popular electric vehicle, accounting for 14% of all electric vehicles sold. Californians bought 55% of all electric vehicles sold and 11.5% of all non-electric vehicles.

a) What is the probability that a randomly chosen new vehicle sold in the US in 2017 was a Tesla Model S? (2 points)

b) What is the probability that a randomly chosen new electric vehicle sold in the US in 2017 was sold in California? (2 points)

c) What is the probability that a randomly chosen new vehicle sold in California in 2017 was an electric vehicle? (2 points)

d) Suppose that 22% of electric vehicles sold in California are Tesla Model Ss. What is the probability that a randomly chosen new vehicle sold in California is a Tesla Model S? (2 points)