GPA and Class

question 108

Short Answer

GPA and Class
A college professor classifies his students according to their grade point average (GPA)and their class rank.GPA is on a 0.0-4.0 scale,and class rank is defined as the under class (freshmen and sophomores)and the upper class (juniors and seniors).One student is selected at random. ​ ​
-{GPA and Class Narrative} What is the probability that the student is in the upper class?

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Definitions:

Modus Ponens

A form of logical argument where a premise, if true, inevitably leads to a particular conclusion.

Modus Tollens

A logical argument form where if the consequent is not true, then the antecedent cannot be true; often formatted as "If P, then Q. Not Q, therefore not P."

Deductive Reasoning

A rational procedure where an outcome is derived from the agreement of several statements, which are widely accepted as true.

Deductive Validity

A property of some logical arguments such that it is impossible for the premises to be true and for the conclusion(s) to be false.