The Random Variable X Represents the Number of Boys in a Family

question 17

Multiple Choice

The random variable x represents the number of boys in a family with three children. Assuming that births of boys and girls are equally likely, find the mean and standard deviation for the
Random variable x.

• A)mean: 1.50; standard deviation: .76
• B)mean: 2.25; standard deviation: .76
• C)mean: 2.25; standard deviation: .87
• D)mean: 1.50; standard deviation: .87

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Definitions:

Second-Order Model

involves equations that account for acceleration in dynamics, incorporating second derivatives in their formulation.

Predictor Variables

Variables in a statistical model that are used to predict or explain changes in the response variable.

With Interaction

A term indicating that the effect of one variable on a response variable depends on the level of another variable.

Interaction Term

An interaction term in statistics is a variable created from the product of two or more variables to capture the effect of their interaction on a dependent variable.