[See Steps] Determine whether the function is a probability density function. Show your work.
Question:
Determine whether the function is a probability density function. Show your work.
\[f(x)=\left\{ \begin{matrix} \frac{2(x-1)}{3}\quad for\quad 0\le x\le 3 \\ 0\quad \quad \quad otherwise \\ \end{matrix} \right.\]
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