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

question 8

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

---

Definitions:

Depression

A common mental disorder characterized by persistent sadness, loss of interest in activities, and a range of physical and cognitive symptoms.

Obsessive-compulsive Personality Disorder

A mental disorder characterized by a preoccupation with orderliness, perfectionism, and control at the expense of flexibility, openness, and efficiency.

Obsessive-compulsive Disorder

A chronic disorder characterized by uncontrollable, reoccurring thoughts (obsessions) and behaviors (compulsions) that the individual feels the urge to repeat.

Ego-syntonic

Refers to thoughts, impulses, and behaviors that are consistent with an individual's self-perception, often contrasted with ego-dystonic, which feels foreign to one's self-image.