A Professor Far Away from Here Gives the Same 100-Point

question 18

Short Answer

A professor far away from here gives the same 100-point final exam year after year and discovers that the students' scores tend to follow the triangular probability density function f(x) pictured below: What percent of the students would you expect to score below 25 points on the exam?

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Definitions:

Deep Structure

In linguistics, the underlying, abstract meaning or representation of a sentence, as opposed to its superficial form.

Transformational Grammar

A linguistic theory concerning how deep structures of language are transformed into various surface structures through grammatical rules.

Language

A system of communication that uses grammar and vocabulary to convey meaning through the use of spoken, written, or gestural symbols.

Sign Language

A language that uses manual communication and body language to convey meaning, primarily used by deaf and hard-of-hearing individuals.