Let $f ( x ) = \frac { 4 c } { \left( 1 + x ^ { 2 } \right) }$

question 43

Short Answer

Let $f ( x ) = \frac { 4 c } { \left( 1 + x ^ { 2 } \right) }$
a) For what value of $c$ is $f$ a probability density function?
b) For that value of $c$ , find $P ( - 1 < X < 1 )$ .

Understand the concept of anxiety and its manifestation in various disorders.

Explore the genetic and environmental factors influencing alcoholism and differentiate between types of alcoholism.

Analyze the use of cognitive-behavioral therapy in treating panic disorder and the core lessons it imparts.

Describe the symptoms of schizophrenia and distinguish between positive and negative symptoms.

---

Definitions:

Compensatory Model

A theory or approach that suggests individuals have the ability to compensate for deficits or weaknesses in one area with strengths or abilities in another area.

Decision-Making Model

A decision-making model is a conceptual framework that outlines the process of making choices by identifying options and weighing potential outcomes.

Impact Behaviors

Actions or behaviors that have a significant or observable effect on oneself, others, or the environment.

Ability to Function

The capacity of an individual to perform tasks or roles in the course of daily life, often in the context of health and disability.