Use the empirical rule to solve the problem.
-The annual precipitation for one city is normally distributed with a mean of 35.6 inches and a standard deviation of 2.9 inches. Fill in the blanks.
In 99.74% of the years, the precipitation in this city is between ___ and ___ inches.
A)29.8,35.6
B)35.6, 44.3
C)29.8, 41.4
D)26.9, 44.3

Question

Use the empirical rule to solve the problem.
-The annual precipitation for one city is normally distributed with a mean of 35.6 inches and a standard deviation of 2.9 inches. Fill in the blanks.
In 99.74% of the years, the precipitation in this city is between ___ and ___ inches. 
A)29.8,35.6
B)35.6, 44.3
C)29.8, 41.4
D)26.9, 44.3

Quizplus · Accepted Answer

The empirical rule, or 68-95-99.7 rule, states that for a normal distribution, approximately 99.7% of the data falls within three standard deviations of the mean. To find the range, subtract and add three standard deviations (3 * 2.9 = 8.7) from the mean (35.6). This gives us 35.6 - 8.7 = 26.9 and 35.6 + 8.7 = 44.3.

Use the Empirical Rule to Solve the Problem