Q5: Suppose the amunt o fheating oil used annually by household in Iowa is normally distributed with mean 200 gallons per household per year and standard deviation 40 gallons of heating oil per household per year.

(A) What is the probability a randomly selected sample of 50 Iowa household use more than 210 gallons of heating oil per year be?

(B) What is the probabilty that a randomly selected sample of 50 Iowa household use between 203 and 300 gallons per year be?

(C) If the memebers of a particular household were scared into using fuel conservation measure by newspaper accounts of the probable price of heating oil next year, and they decide they wanted to use less oil than 97.5% of all other Iowa households currently using heating oil. What is the maximum amount of oil they can use and still accomplish their conservation objective?

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