The Annual Rainfall in a Particular Area of the Country

question 1

Short Answer

The annual rainfall in a particular area of the country is normally distributed with mean 40 inches and standard deviation 8 inches.
In what proportion of years will the annual rainfall be between 42 and 50 inches?
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A drought occurs after a year where the annual rainfall was below the 20th percentile. Find the 20th percentile for the annual rainfall in this area of the country.
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Definitions:

Electronics Company

A business entity that designs, manufactures, and sells electronic equipment, devices, and components.

P Chart

A type of control chart used for monitoring the proportion of nonconforming units in a sample, typically used in manufacturing or quality control processes.

Nonconforming Items

Products or outputs in a manufacturing or production process that do not meet the specified standards or quality criteria.

Customer's Specifications

Detailed requirements and criteria provided by a customer regarding the design, functionality, or construction of a product or service.