Question: Miles per Gallon Elena conducts an experiment in which she fills up the gas tank on her Toyota Camry 40 times and records the miles per gallon for each fill-up. A histogram of the miles per gallon indicates that a normal distribution with mean of 24.6 miles per gallon and a standard devia­tion of 3.2 miles per gallon could be used to model the gas mileage for her car.

(a) The following figure represents the normal curve with = 24.6 miles per gallon and = 3.2 miles per gallon. The area under the curve to the right of X = 26 is 0.3309. Provide two interpretations of this area.

(b) The following figure represents the normal curve with = 24.6 miles per gallon and = 3.2 miles per gallon. The area under the curve between 18 and 21 is 0.1107. Provide two interpretations of this area.