Let $X$ be a random variable with probability density function

$f(x)=\begin{cases} 0.2,& \text{for } \mid x \mid \leq 1\\ 0.1,& \text{for }1< \mid x \mid \leq 4\\ 0 & \text{otherwise } \end{cases} \\$

The probability $P(0.5 < X < 5)$ is ______.