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

question 43

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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Definitions:

Voidable

A term describing a contract or agreement that can be legally declared invalid by one or more of the parties involved.

Unconscionable

Describes an agreement that is so unjust or overwhelmingly one-sided in favor of one party that it is deemed unenforceable under the law.

Rescind

As the word is applied to contracts, to terminate the contract as to future transactions or to annul the contract from the beginning.

Rescind

To revoke, cancel, or repeal a contract, agreement, or offer, making it as though it never existed.