Salma is a civil engineer working for the city of Indianapolis on a project to widen some of its downtown streets. One aspect that she has to consider is that, during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures of the asphalt using a normal distribution with a mean of  108   °F  and a standard deviation of  16   °F . Use this table or the ALEKS calculator to find the percentage of noonday temperatures of the asphalt between  104   °F  and  132   °F  according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example  98.23% ).

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Salma is a civil engineer working for the city of Indianapolis on a project to widen some of its downtown streets. One aspect that she has to consider is that, during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures of the asphalt using a normal distribution with a mean of 

108

 

°F

 and a standard deviation of 

16

 

°F

.

Use this table or the ALEKS calculator to find the percentage of noonday temperatures of the asphalt between 

104

 

°F

 and 

132

 

°F

 according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 

98.23%

).

Expert Solution
Step 1: Provide the given information

Suppose the random variable x defines the noonday temperature of the asphalt.

The random variable x follows normal distribution with mean µ = 108°F and the standard deviation of σ = 16°F.

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