A gasoline tank for a certain car is designed to hold 15 gallons 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 mean 15.0 gallons and standard deviation 0.1 gallon.
a. What is the probability that a randomly selected tank will hold at most 14.8 gallons?
b. What is the probability that a randomly selected tank will hold between 14.7 and 15.1 gallons?
c. If two such tanks are independently selected, what is the probability that both hold at most 15 gallons?