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

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