Question: Gasoline consumption for all families in Rocktown has a normal distribution with a mean of 16.9 gallons per week with a standard deviation of 3.2 gallons per week.

a) Find the probability that a randomly selected family consumes between 16 and 17 gallons of gasoline per week.

b) Find the 80^th percentile of family consumptions.

c) Find the probability that a random sample of 6 families exceeds a mean of 17.5 gallons of gasoline per week.