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

Question

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

Quizplus · Accepted Answer

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

Let f(x)=2c(1+x2)f ( x ) = \frac { 2 c } { \left( 1 + x ^ { 2 } \right) }f(x)=(1+x2)2c​

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