A gasoline tank for a certain car is designed to hold 15 gal. Suppose that the actual capacity x of a randomly chosen tank has a normal distribution with mean value 15.0 gal and standard deviation 0.10 gal.
a. What is the probability that a randomly selected tank will hold at most 14.8 gal?
b. What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gal?