Question

The three car companies F oyota, Mord, and Zitroen produce hybrid cars. It is known that F oyota produces twice as many hybrid cars as Mord, and that Mord and Zitroen produce the same number of hybrid cars during a specified production period. It is also known that 2% of the hybrid cars produced by F oyota and Mord are defective, while 4% of those manufactured by Zitroen are defective. All the hybrid cars produced by these companies are put together, and then one hybrid car is chosen at random.

(a) What is the probability that this car is defective? (In your solution, define the corresponding events and write down the given probabilities in terms of them using a tree diagram.)

(b) Given that the car is defective, what’s the probability that it came from F oyota?

Answer 1