Answer Happy

Q2) (15pt) A car manufacturer manufactures 3 types of vehicles with the following specifications: • Compact (CO): defective percentage 7%, overall production percentage 20% • Sedan (SE): defective percentage 11%, overall production percentage 50% • SUV (SV): defective percentage 15%, overall production percentage 20% Van (VA): defective percentage 17%, overall production percentage 10% Answer the following questions: a) (2pts) A dealership wants to buy vehicles from the manufacturer chosen at random from its inventory. What is the probability of the vehicles chosen being defective? b) (2pts) Assuming a non-defective vehicle has been selected at random, what's the probability that it is a compact (CO) car? c) (2pts) Assuming a defective vehicle has been selected at random, what's the probability that it is a van (VA)? d) (2pts) What's the probability of a vehicle chosen being an SUV or VAN given that it's known it's non-defective? e) (2pts) if the dealership chooses three vehicles instead of one randomly, what's the probability of all three of them being defective? A) (2.5pts) if the dealership chooses three vehicles instead of one randomly, what's the probability that only one of them being defective? B) (2.5pts) if the dealership chooses three vehicles instead of one randomly, what's the probability of all of them being VANs given that it is known that all were defective?