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Mean Mileage for a Minivan

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THE MEAN MILEAGE FOR A CERTAIN MINIVAN IS 19.5 MPG WITH A STANDARD DEVIATION OF 1.8 MPG.

A. ASSUMING WE KNOW NOTHING ABOUT THE SHAPE OF THE DATA SET, AT LEAST WHAT % OF TIME WILL THE RECORDED MILEAGE BE BETWEEN 16.8 AND 22.2 MPG?

B. ASSUMING WE CAN VERIFY THAT THE DATA SET IS APPROX NORMALLY DISTRIBUTED, WHAT % OF TIME WILL THE RECORDED MILEAGE BE GREATER THAN 15.9 MPG?

C. ASSUMING WE CAN VERIFY THAT THE DATA SET IS APPROX NORMALLY DISTRIBUTED 68% OF THE MILEAGES WILL BE WITHIN WHAT RANGE?

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The solution discusses questions regarding recorded mileage.

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A)
16.8 to 22.2 is 19.5+/-1.5*1.8 or Mean +/- 1.5*Standard Deviation
When we know nothing about the data then (1-1/1.5^2)=0.5555 or 55.55% data will be recorded ...

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