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Determine Probability values for the Normal distribution.

The average amount of precipitation in Dallas, Texas, during the month of April, is 3.50 inches with a standard deviation of 0.80 inches (The World Almanac 2000). Please answer the following questions, assuming rainfall is distributed normally.

a) What percentage of time does the amount of rainfall in April exceed 5 inches?

b) What percentage of time is the amount of rainfall in April less than 3 inches?

c) A month is classified as "extremely wet" if the amount of rainfall is in the upper 10% for that month. How much precipitation must fall before a month of April is classified as "extremely wet"?

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