Determine Whether the Function Is a Probability Density Function Over $$f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { \pi \left( x ^ { 2 } + 1 \right) } & x \geq 0 \\0 & x < 0\end{array} \right.$$

question 261

True/False

Determine whether the function is a probability density function over the given interval.
- $$f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { \pi \left( x ^ { 2 } + 1 \right) } & x \geq 0 \\0 & x < 0\end{array} \right.$$

---

Definitions:

Well-Being

A state of comfort, health, or happiness, often considered in terms of physical, psychological, and social factors.

Chronic Stress

A state of ongoing psychological strain and tension resulting from enduring stressful circumstances over a prolonged period.

Psychoneuroimmunologists

Scientists who study the interaction between psychological processes, the nervous system, and the immune system.

General Adaptation Syndrome

A three-stage response (alarm, resistance, exhaustion) that the body goes through when exposed to prolonged stress.