SOLUTION: The annual precipitation in one city is normally distributed with a mean of 397 inches and a standard deviation of 2.5inches. In 95% of years precipitation in this city is between

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Question 1188872: The annual precipitation in one city is normally distributed with a mean of 397 inches and a standard deviation of 2.5inches. In 95% of years precipitation in this city is between ____ and ___ inches. Options are: 389.5-404.5, 397-402, 389.5-397, and 392-402
Answer by Boreal(15235) About Me  (Show Source):
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95% limits are +/- 1.96 sd or approximately 2 sd
That would be a difference of +/-5 inches (4.8 inches to be exact).
(392,302) is the answer. The middle of the interval has to be 397 inches, the mean. which excludes the middle two choices right away.