The average (mean) monthly gasoline (gallon) purchase for a family with 2 cars is 62. This statistic has a normal distribution with a standard deviation = 6 gallons. A family is chosen at random.
a) Find the probability that the family's monthly gasoline (gallon) purchases will be between 47 and 67 gallons.
b) Find the probability that the family's monthly gasoline (gallon) purchases will be less than 67 gallons.
c) What is the probability that the family's monthly gasoline (gallon) purchases will be more than 47 gallons?