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Fuel efficiency, measured in miles per gallon, for many vehicles follows a symmetric and bell shaped...



Fuel efficiency, measured in miles per gallon, for many vehicles follows a symmetric and bell shaped distribution. Suppose the city driving fuel efficiency of a 2009 Honda Odyssey has an average of 17mpg with a standard deviation of 2.2 mpg. What percentage of 2009 Honda Odysseys have a fuel efficiency between 12.6mpg and 19.2mpg?

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Answer #1

Let X:City driving fuel efficiency of 2009 Honda Odyssey

So it is given that it is symmetric and bell shaped hence

initially to find

Standardising it

Here z follows standard normal distribution and probability is computed using the R software.

Hence 81.86% of 2009 Honda Odysseys have a fuel efficiency between 12.6mpg and 19.2mpg.

Thank you !!

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