An Automobile manufacturer claims that a new car model has a mean city gas mileage of 30 miles per gallon. The manufacturer also indicates that the standard deviation of city gas mileage is 3 miles per gallon and that city gas mileage for this model is normally distributed.

(A) If you were to buy this model of automobile, hat is the probability you would purchase one that gets more than 33 miles per gallon for city driving?

(B) Suppose automobiles in the lowest % in terms of miles per gallon are labeled as lemons. The automobile you purchased is getting 24 miles per gallon for city driving. Did you get stuck with a lemon? Please explain.

(C) Determine the miles per gallon such that approximately 75% of the automobiles of this model have less than this miles per gallon. (Please show steps)