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

question 1

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) 0.739
• B) 0.545
• C) 1
• D) 0.297

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Definitions:

Nucleophile

An entity in chemistry that transfers a pair of electrons to an electrophile, enabling the formation of a chemical bond as a part of the reaction process.

Lewis Definition

A theory of acids and bases where acids accept a pair of electrons during a reaction, while bases donate a pair of electrons.

Acids

Substances that donate protons (hydrogen ions) in aqueous solutions and can react with bases to form salts, often characterized by a sour taste.

Electrophile

A reactive species that seeks out electrons, often forming a bond by accepting an electron pair from a nucleophile.