1. Assume the random vector (Trunk Space, Length, Turning diameter) of Japanese car is normally distributed and the unbiased estimators for its mean and variance are the truth. For the Japanese car, find the conditional distribution of (Trunk, Length) given Turning diameter is 36 feet.
2. Are there signi cant di erences among the cars from the three places in terms of the vector (Price, Mileage, Weight)? Specify the hypothesis test and the test you used.