In Example 4, we have:
$$F(x) = \begin{cases} 0, & x < 0 \\ \frac{1}{4} x, & 0 \leq x < 2 \\ \frac{1}{2}, & 2 \leq x < 3 \\ 1, & x \geq 3 \end{cases}$$
and the corresponding probability density function is:
$$f(x) = \begin{cases} \frac{1}{4}, & 0 \leq x < 2 \\
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