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

question 34

Multiple Choice

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 probability
That none of the four cans selected contains an incorrect mix of paint.

• A)0.25455
• B)0.50909
• C)0.01818
• D)0.21818

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Definitions:

Resolution

The act of solving a problem, dispute, or contentious matter, often involving deciding on a course of action or determining a clear outcome.

Bicultural Identity

Identity formation that occurs when adolescents identify in some ways with their ethnic group and in other ways with the majority culture.

Ethnic Culture

The shared practices, values, traditions, and beliefs of a specific ethnic group, distinguishing it from other groups.

Majority Culture

Refers to the dominant cultural practices and beliefs of the largest or most influential group within a society.