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Question

The Energy Information Administration reported that the mean retail price per gallon of regular-grade gasoline was $3.43\$ 3.43 (Energy Information Administration, July 2012). Suppose that the standard deviation was $.10\$ .10 and that the retail price per gallon has a bell-shaped distribution.

a. What percentage of regular-grade gasoline sold for between $3.33\$ 3.33 and $3.53\$ 3.53 per gallon?

Solution

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It is assumed that the retail price of gasoline follows a normal distribution. The given mean retail price of gasoline is 3.433.43 and the given standard deviation is 0.10.1.

Our task is to find the percentage of gasoline that is sold in the range [3.33,3.53]\left[ 3.33,3.53 \right].

How do we find this percentage using standard deviations?

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