A gasoline tank for a certain car is designed to hold 15 gals of gas. Suppose that the variable x = actual capacity of a randomly selected tank has a distribution that is well approximated by a normal curve with a mean of 15.0 gal and standard deviation of 0.1 gal. What is the probability that a randomly selected tank will hold
a.) at most 14.8 gal?
b.) between 14.7 and 15.1 gal?
c.) at least 14.9 gal?