Question: Joe s Auto Inc. is a small Detroit - based company that manufactures standard 5 - gallon tanks ( or 1 8 . 9 2

Joe

s Auto Inc. is a small Detroit

-

based company that manufactures standard

5 -

gallon tanks

(

18.92

liters

)

for sport motorcycles. Despite highest quality standards, the pressing equipment still has a small amount of variability. Specifically, the volume of the gas tank is a normally distributed variable with a mean and a standard deviation of

18.7

liters and

0.7

liters respectively.

Joe

s Auto Inc. wants to be a premiere manufacturer of gas tanks. They want to not only meet the minimum industry standards but also want to minimize their legal liability. Therefore, Joe

s Auto Inc. decided to reengineer their manufacturing practices to ensure almost of their gas tanks can be expected to hold anywhere in between

17.65

and

19.4

liters of fuel. What is the percentage of gas tanks that meet this range currently

(

prior to this reengineering initiative

) ?

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