Davin Andrade

Mathematics

4 April, 14:37

The summer monsoon rains bring 80% of a country's rainfall and are essential for the country's agriculture. Records going back more than a century show that the amount of monsoon rainfall varies from year to year according to a distribution that is approximately Normal with mean 856 millimeters (mm) and standard deviation 89 mm. Use the 68-95-99.7 rule to answer the following questions.

Between what values do the monsoon rains fall in 95% of all years?

How small are the monsoon rains in the driest 2.5% of all years?