Question 935462: The annual precipitation for one city is normally distributed with a mean of 28 inches and a standard deviation of 3.4 inches. Fill in the blanks.
In 95% of the years, the precipitation in this city is between __________ and __________ inches.
Apply the 68-95-99.7 rule to this question.
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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2 sigma:
28-3.4*2 = 21.2
28+3.4*2 = 34.8
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answer:
In 95% of the years, the precipitation in this city is between 21.2 and 34.8 inches.
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