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

question 91

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 mother's house. Unknown to the man, three of these cans contains an incorrect mix of paint. For this weekend's big project, the man randomly selects four of these 1-gallon cans to paint his mother's 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) 0.50909
• B) 0.21818
• C) 0.01818
• D) 0.25455

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Definitions:

Poster

A printed piece of paper designed for attaching to a wall or vertical surface, typically including textual and graphic elements to promote or advertise something.

Édouard Manet

A French painter, one of the first 19th-century artists to depict modern-life subjects, contributing to the birth of Impressionism.

Subject

In education and research, it refers to the area of knowledge or study. In art, it denotes the main object or theme depicted.

Impressionist Paintings

Artworks from the 19th-century Impressionist movement, characterized by small, thin brush strokes, open composition, emphasis on light in its changing qualities, and ordinary subject matter.