Select the Best Translation into Predicate Logic, Using the Following $\lor$

question 268

Multiple Choice

select the best translation into predicate logic, using the following translation key:
d: Diego
s: Sean
Dx: x is on the Dean's list
Px: x is a philosophy major
Sx: x is a student
Vx: x is a valedictorian
-There is exactly one philosophy major on the Dean's list.

• A) (∃x){(Px • Dx) • (∀y)[(Py • Dy) ⊃ y=x]}
• B) (Pd • Ps) ⊃ [(Dd \( \lor \) Ds) • ~(Dd • Ds)]
• C) (∀x)(∀y){[(Px • Dx) • (Py • Dy)] ⊃ x=y}
• D) (∃x){(Px • Dx) ⊃ (∀y)[(Py • Dy) ⊃ x=y]}
• E) (Pd • Dd) \( \lor \) (Ps • Ds)

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Definitions:

Normal Distribution

A symmetrical, bell-shaped distribution of data wherein most observations cluster around the central peak and probabilities for values taper off equally in both directions.

Mean

The arithmetic average of a set of values, calculated by summing all the values and then dividing by the number of values.

Normal Curve

A bell-shaped curve that represents the distribution of a set of data where most values cluster around the mean.

Basis

The underlying support or foundation for an idea, argument, or process, often used in various contexts like mathematics, finance, and other disciplines.