Suppose that the miles-per-gallon (mpg) rating of passenger cars is normally distributed with a mean and a standard deviation of 35.9 and 2.5 mpg, respectively. (You may find it useful to reference the z table.)

a. What is the probability that a randomly selected passenger car gets more than 37 mpg? (Round final answer to 4 decimal places)

b. What is the probability that the average mpg of three randomly selected passenger cars is more than 37 mpg? (Round final answer to 4 decimal places)

c. If three passenger cars are randomly selected, what is the probability that all of the passenger cars get more than 37 mpg? (Round final answer to 4 decimal places)