$f ( x ) = \left\{ \begin{array} { l l } \frac { 5 } { x ^ { 6 } } & \text { if } x \geq 1 \\0 & \text { if } x < 1\end{array} \right.$

Short Answer

$f ( x ) = \left\{ \begin{array} { l l } \frac { 5 } { x ^ { 6 } } & \text { if } x \geq 1 \\0 & \text { if } x < 1\end{array} \right.$ is a probability density function for a particular random variable X. Use integration to find $P ( X \geq 3 )$