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The volume of a Kumin’s Choice soda bottle filled by anautomated process is norm

ID: 2953211 • Letter: T

Question

The volume of a Kumin’s Choice soda bottle filled by anautomated process is normally

distributed with a mean of 15.9 fluid ounces and has a standarddeviation of 0.2 fluid ounces.

a.What is the probability that a bottle has a volume of less than thetypical advertised rate

of16 fluid ounces?

b.If bottles that are filled more than 16.2 fluid ounces or less than15.6 fluid ounces are

scrapped, what percentage of bottles will be unusuable?

c.What specifications, symmetric about the mean, would enable thesoda company to

scrap only 7.5% of its bottles?

Explanation / Answer

x.