Consider the Following to Answer the Question(s) Below

question 11

Multiple Choice

Consider the following to answer the question(s) below:
A company's manufacturing process uses 500 litres of water at a time. A "scrubbing" machine then removes most of a chemical pollutant before pumping the water into a nearby lake. To meet federal regulations the treated water must not contain more than 80 parts per million (ppm) of the chemical. Because there is a fine charged if regulations are not met, the company sets the machine to attain an average of 75 ppm in the treated water. The machine's output can be described by a Normal model with a standard deviation 4.2 ppm.
-What percent of the batches of water discharged exceed the 80 ppm standard?

• A) 88.3%
• B) 11.7%
• C) 61.7%
• D) 38.3%
• E) -11.7%

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Definitions:

Freedom of Choice

The ability or right to make one's own decisions without coercion or constraint.

Stage of Life

Specific phases that an individual passes through during their lifetime, marked by distinct physical, psychological, or social characteristics.

Choice Corollary

A principle in George Kelly's personal construct theory, suggesting that individuals choose their processes among those available to them based on anticipated events.

Repeated Events

Occurrences or happenings that take place more than once, often following a similar pattern each time.