The Average Mpg (Miles Per Gallon) of a New Model $\mu = 27.4$

Essay

The average mpg (miles per gallon) of a new model of motorcycle is known to be normally distributed with mean $\mu = 27.4$ mpg and standard deviation $\sigma = 2.9$ 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 twointerpretations of this result.