The Useful Life X of a Particular Kind of Machine

True/False

The useful life X of a particular kind of machine is a random variable with density function $$f ( x ) = \left\{ \begin{array} { c l } \frac { 4 } { 15 } + \frac { 2 } { 3 x ^ { 2 } } & \text { if } 2 \leq x \leq 5 \\0 & \text { otherwise }\end{array} \right.$$ where x is the number of years a randomly selected machine stays in use. $$P ( X \leq 3 ) = \frac { 28 } { 45 }$$