SOLUTION: The annual precipitation for one city is normally distributed with a mean of 72 inches and a standard deviation of 3.5 inches. Fill in the blanks. In 99.7% of the years, the pre

Question 935463: The annual precipitation for one city is normally distributed with a mean of 72 inches and a standard deviation of 3.5 inches. Fill in the blanks.
In 99.7% of the years, the precipitation in this city is between __________ and __________ inches.
Apply the 68-95-99.7 rule to this questions.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
the 68-95-99.7 rule:
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in a normal distribution, 68.27% of the values lie within one standard deviation of the mean, 95.45% of the values lie within two standard deviations of the mean, and 99.73% of the values lie within three standard deviations of the mean.
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3 sigma:
72-3.5*3 = 61.5
72+3.5*3 = 82.5
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answer:
In 99.7% of the years, the precipitation in this city is between 61.5 and 82.5 inches.
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