Question: The following is a density function:

\[f\left( x \right)=\left\{ \begin{aligned} & \frac{1}{3}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,2\le x\le 5 \\ & 0\text{ otherwise} \\ \end{aligned} \right.\]

Compute

(a) \(\Pr \left( 2\le X\le 5 \right)\)

(b) \(\Pr \left( 3\le X\le 4 \right)\)

(c) \(\Pr \left( X\ge 4 \right)\)