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

question 136

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 mean of this distribution.

• A) 4
• B) 12
• C) 1
• D) 3

---

Definitions:

Gluteus Muscle

A group of three muscles located in the buttocks responsible for movement of the hip and thigh.

Intramuscular Injection

A method of administering medication deep into the muscles, allowing for quicker absorption into the bloodstream.

Vastus Lateralis

A muscle in the thigh that is part of the quadriceps group, it extends the leg at the knee joint.

Needle Safety

Needle safety refers to practices aimed at reducing the risk of injury and transmission of pathogens when using needles in medical settings.