Show That If X and Y Are Independent Random Variables $E ( X Y ) = E ( X ) \cdot E ( Y )$

question 8

Essay

Show that if X and Y are independent random variables, then $E ( X Y ) = E ( X ) \cdot E ( Y )$

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Definitions:

Grumbling Acceptance

Reluctant agreement or consent to a situation, decision, or condition without overt opposition.

Stipulation

An agreement between the parties involved in a legal case on certain facts or procedures, often meant to simplify the case or expedite proceedings.

Gap-Fillers

Provisions in law or contracts that provide terms where the parties have not specified them, to complete or fill in gaps.

Materially Alter

To make significant changes to the substance or terms of an agreement or document that affect its essential elements.