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

question 187

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 at least one of the four cans selected contains an incorrect mix of paint.

• A) 0.74545
• B) 0.50909
• C) 0.78182
• D) 0.49091

---

Definitions:

Squared Deviations

The squares of the differences between individual observations and the mean of those observations, often used in statistical analysis to measure variance.

Regression Line

A statistical tool used in linear regression analysis that represents the relationship between two variables, showing the expected value of the dependent variable for a given value of the independent variable.

Margin Of Safety

The excess of budgeted or actual dollar sales over the break-even dollar sales.

Margin Of Safety Percentage

A financial ratio that measures the difference between actual or projected sales and the break-even point, expressed as a percentage of sales.