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Apply the 68-95-99.7 rule to answer this question. The annual precipitation for one city is normally distributed with a mean of 72 inches and a standard deviation of 3.5 inches. In 99.7% of the years, the precipitation in this city is between _______ and _______ inches.

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boffeemadrid

Answer:

61.5 and 82.5 inches.

Explanation:

According to the 68-95-99.7 rule, 99.7% means the values have 3 standard deviations

[tex]\mu=72[/tex] = Mean

[tex]\sigma=3.5[/tex] = Standard deviation

[tex]x=\mu+3\sigma\\\Rightarrow 72+3\times 3.5=82.5[/tex]

[tex]y=\mu-3\sigma\\\Rightarrow 72-3\times 3.5=61.5[/tex]

Hence, the precipitation in the city will be in between 61.5 and 82.5 inches.

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