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Suppose a Man Has Ordered Twelve 1-Gallon Paint Cans of a Particular

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Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his motherʹs house. Unknown to the man, three of these cans contains
An incorrect mix of paint. For this weekendʹs big project, the man randomly selects four of these
1-gallon cans to paint his motherʹs living room. Let x = the number of the paint cans selected that
Are defective. Unknown to the man, x follows a hypergeometric distribution. Find the standard
Deviation of this distribution.


Definitions:

Semiformal

A term referring to practices or events that are not strictly formal but still adhere to certain established norms or rules.

Formal Group

An official group formed within an organization, designed with a specific purpose and structured roles.

Informal Group

A naturally occurring group formed by individuals within an organization based on personal relationships and common interests.

Cohesive Group

indicates a group characterized by strong bonds and unity among its members, often leading to improved cooperation and performance.

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