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

question 55

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 $P ( - 1 < X < 1 )$ .

---

Definitions:

Erikson

Pertains to Erik Erikson, a developmental psychologist famous for his theory regarding human beings' psychosocial development.

Jungian Theory

A psychological framework by Carl Jung that introduces concepts like the collective unconscious, archetypes, and personality types.

Substage

A division within a stage of development that denotes more specific or nuanced phases in cognitive, emotional, or physical growth.

Super Hero

A fictional character who possesses extraordinary talents, supernatural phenomena, or superhuman powers and is dedicated to protecting the public and fighting against evil.