The average mpg (miles per gallon) of a new model of motorcycle is known to be normally distributed with mean μ = 27.4 mpg and standard deviation σ = 2.9 mpg.
(a) Draw a normal curve with the parameters labeled.
(b) Shade the region that represents the proportion of mpgs between 29.3 and 23.7.
(c) Suppose the area under the normal curve to between X = 29.3 and X = 23.7 is 0.6419. Provide two interpretations of this result.