Question

Cars are manufactured in towns called Farad, Gilbert and Henry. Of 1000 made in Farad (F), 20% are defective, of 2000 made in Gilbert (G), 10% are defective, and of 3000 made in Henry (H), 5% are defective. You buy a car from a distant dealer. If D is the event that the car is defective, find (a) P(D/H), (b) P(D), (c) P(F/D). Assume you are equally likely to have bought any of the 6000 cars produced.

Answer 1