(Solved): The annual amounts of rainfall in a certain region are modeled using the normal distribution shown b ...

The annual amounts of rainfall in a certain region are modeled using the normal distribution shown below. The mean of the distribution is 30.8 cm and the standard deviation is

. In the figure,

is a number along the axis and is under the highest part of the curve. And,

and

are numbers along the axis that are each the same distance away from

. Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of

,

, and

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