Suppose that the miles-per-gallon (mpg) rating of passenger carsis normally distributed with a mean and a standard deviation of35.9 and 2.5 mpg, respectively. [You may find it useful toreference the z table.]
a. What is the probability that a randomly selected passengercar gets more than 37 mpg?
b. What is the probability that the average mpgof three randomly selected passenger cars is more than 37 mpg?(Round “z†value to 2 decimal places, and finalanswer to 4 decimal places.)
c. If three passenger cars are randomly selected, what is theprobability that all of the passenger cars get more than 37mpg? (Round “zâ€value to 2 decimal places, and final answer to 4 decimalplaces.)
