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 a 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 figure represents the normal curve with µ = 24.6 miles per gallon and σ = 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 figure at the top of the next column represents the normal curve with µ = 24.6 miles per gallon and σ = 3.2 miles per gallon. The area under the curve between x = 18 and x = 21 is 0.1107. Provide two interpretations of this area.

Transcribed Image Text:

A厂 Area = 0.3309 μ = 24.6 26 Area = 0.1107 18 21 μ = 24.6 X