Question

An automobile manufacturer produces 70 ​% of its cars at plant A. If 6 ​% of the cars manufactured at plant A have defective emissions control​ devices, what is the probability that one of this​ manufacturer's cars was manufactured at plant A and has a defective emissions control​ device?

Answer 1

P(produces car at plant A) = 0.7

P(defective | produces car at plant A) = 0.06

P(cars was manufactured at plant A and has a defective emissions control​ device) = P(defective | produces car at plant A) * P(produces car at plant A)

                                                      = 0.06 * 0.7

                                                      = 0.042