Problem 14RE

Average PrecipitationFor the first 7 months of the year, the average precipitation in Toledo, Ohio, is 19.32 inches. If the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.

a. A randomly selected year will have precipitation greater than 18 inches for the first 7 months.

b. Five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months. (6–3)

Solution:

Step 1 of 3:

The average precipitation in Toledo, Ohio is 19.32 inches in the first 7 months of a year.

The average precipitation is normally distributed with a standard deviation of 2.44 inches.

We have to find the following.

- The probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months.
- The probability that five randomly selected year will have an average precipitation greater than 18 inches for the first 7 months.