The Conditional Distribution of Y Given X = X, Pr(Y $\mid X$

question 48

Multiple Choice

The conditional distribution of Y given X = x, Pr(Y = y $\mid X$ =x) , is

• A) \(\frac { \operatorname { Pr } ( Y = y ) } { \operatorname { Pr } ( X = x ) }\)
• B) \(\sum _ { i = 1 } ^ {l } \operatorname { Pr } \left( X = x _ { i } , Y = y \right)\)
• C) \(\frac { \operatorname { Pr } ( X = x , Y = y ) } { \operatorname { Pr } ( Y = y ) }\)
• D) \(\frac { \operatorname { Pr } ( X = x , Y = y ) } { \operatorname { Pr } ( X = x ) }\)

---

Definitions:

Hydrogen Atoms

The simplest and most abundant type of chemical atom in the universe, consisting of one electron bound to a single proton.

Molecule

The smallest unit within a chemical substance that possesses the chemical attributes of the specific element or compound.

Lewis Structure

A representation of molecules showing all the valence electrons as dots or lines, highlighting the bonding between atoms and any lone pairs.

Empirical Formula

The simplest integer ratio of the elements present in a compound, not indicating the actual number of atoms.