Let \( X \) be a random variable with the probability density function
\[
f(x) = \begin{cases}
c(x - \lfloor x \rfloor), & 0<x<3, \\
0, & \text{elsewhere},
\end{cases}
\]
where \( c \) is a constant and \( \lfloor x \rfloor \) denotes the greatest integer less than or equal to \( x \). If
\[
A = \left[ \frac{1}{2}, 2 \right], \text{ then } P(X \in A) \, \text{(rounded off to two decimal places) is equal to} \, ________.
\]