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

question 6

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 standard deviation of this distribution.

• A) 0.297
• B) 1
• C) 0.545
• D) 0.739

---

Definitions:

Domains

in a biological context, refer to the largest divisions in the classification of life, including Bacteria, Archaea, and Eukarya.

Life

The condition distinguishing animals and plants from inorganic matter, including capacity for growth, reproduction, functional activity, and continual change preceding death.

Eukarya

One of the three domains of life, consisting of organisms with cells that have a nucleus enclosed within membranes.

Biodiversity

The variety and variability of life on Earth, including diversity within species, between species, and of ecosystems.