The annual amounts of rainfall in a certain region are modeled using the normal distribution shown below. The mean of the distribution is $41.8 cm$ and the standard deviation is $5.3 cm$ . In the figure, $V$ is a number slong the axis and is under the highest part of the curve. And, $U$ and $W$ are numbers along the axis that are each the same distance away from $R$ . 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 $U$ , $V$ , and IV.

Question

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

41.8 cm

and the standard deviation is

5.3 cm

. In the figure,

V

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

U

and

W

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

R

. 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

U

,

V

, and IV.

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