Suppose that the miles-per-gallon (mpg) rating of passenger carsis normally distributed with a mean and a standard deviation of30.9 and 2.7 mpg, respectively. [You may find it useful toreference the z table.]
a. What is the probability that a randomlyselected passenger car gets more than 32 mpg? (Round“z” value to 2 decimal places, and final answer to 4decimal places.)
b. What is the probability that the average mpgof four randomly selected passenger cars is more than 32 mpg?(Round “z” value to 2 decimal places, and finalanswer to 4 decimal places.)
c. If four passenger cars are randomlyselected, what is the probability that all of the passenger carsget more than 32 mpg? (Round “z” value to 2decimal places, and final answer to 4 decimal places.)
