Let $(x)=\frac{c}{1x^2}$

Taeroles $($d$)$

For what wase of cis faprobability density function?

Step $1$

Step $2$

As line as $c,0,$ thes we with be $n(x)=\frac{e}{1x^2}0$

We can fine eby seiving ${\displaystyle \underset{-}{\overset{}{}}}\frac{e}{1a^x}dx=1v$

Sten $3$

For positive $x_2,$ we have the following.

${\displaystyle \underset{0}{\overset{e}{}}}\frac{c}{1x^2}dx=\underset{b}{lim}{\displaystyle \underset{0}{\overset{b}{}}}\frac{c}{1x^2}dx$

$=\underset{t}{lim}$

$=x_x$