A Die Is Rolled

question 79

Multiple Choice

A die is rolled. If it rolls to a 1, 2, or 3, you win $2. If it rolls to a 4, 5, or 6, you lose $1. Calculate the expected winnings.

• A)$0.50
• B)$3.00
• C)$1.50
• D)$1.00

---

Definitions:

Population Correlation Coefficient

A measure of the strength and direction of the linear relationship between two variables in a population.

Correlation

A statistical measure that expresses the extent to which two variables change together, indicating the strength and direction of their relationship.

Probability Distribution

A statistical description enumerating all likely values and their corresponding probabilities for a random variable within a set interval.

Error Variable \(ε\)

In statistical modeling, particularly in linear regression, it represents unobserved random errors or deviations of observed values from their expected values.