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

question 128

Short Answer

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

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Definitions:

Adam Smith

An 18th-century Scottish economist and philosopher, best known for his works "The Wealth of Nations," which laid the foundations of classical free-market economic theory.

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"Discovery"

Often refers to the European "discovery" of lands outside of Europe, although these lands were already inhabited, marking the beginning of colonization.

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