Two Random Variables Are Independently Distributed If Their Joint Distribution

question 33

Essay

Two random variables are independently distributed if their joint distribution is the product of their marginal distributions. It is intuitively easier to understand that two random variables are independently distributed if all conditional distributions of Y given X are equal. Derive one of the two conditions from the other.

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Definitions:

Opportunity Cost

The cost of the next best alternative that is forgone when making a decision.

Economic Concept

A principle, theory, or idea that forms the basis for economic analysis and decision-making.

Marginal Analysis

An approach in economics that involves examining the consequences of adding to or subtracting from the current situation.

Opportunity Cost

Foregoing the opportunity for advantages from different choices by opting for a specific one.