X Is a Normally Distributed Random Variable with a Mean

question 116

Multiple Choice

x is a normally distributed random variable with a mean of 7 and a standard deviation of 2. The probability that x is between 6.48 and 7.56 is

• A) 0.9524.
• B) 0.0476.
• C) 0.7872.
• D) 0.2128.

---

Definitions:

Standard Error of the Estimate

A measure that indicates the accuracy with which a regression line represents the data points.

Simple Linear Regression

An analytical technique that fits a linear equation to data points to model how a dependent variable changes with one independent variable.

Variation

Variation refers to the differences or deviations among individuals or objects in a particular characteristic, within a population, species, or set of data.

Slope Coefficient

A parameter in a linear regression model that quantifies the change in the response variable for a one-unit change in the predictor variable.