$$f ( x ) = \left\{ \begin{array} { l l } \frac { 7 } { x ^ { 8 } } & \text { if } x \geq 1 \\0 & \text { if } x < 1\end{array} \right.$$

Short Answer

$$f ( x ) = \left\{ \begin{array} { l l } \frac { 7 } { x ^ { 8 } } & \text { if } x \geq 1 \\0 & \text { if } x < 1\end{array} \right.$$ is a probability density function for a particular random variable X Use integration to find $P ( X \geq 3 )$