$$ F(x) = \begin{cases} 0,\quad x < 1 \\ \frac{x^2-x}{2}\quad1 \leq x \leq 2 \\ 1, \quad x > 2 \end{cases} $$
How would I find the mean in this problem? Can somebody help me get started? Thank you
$$ F(x) = \begin{cases} 0,\quad x < 1 \\ \frac{x^2-x}{2}\quad1 \leq x \leq 2 \\ 1, \quad x > 2 \end{cases} $$
How would I find the mean in this problem? Can somebody help me get started? Thank you
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Hint: Note that $$F'(x) = \begin{cases} 0,\quad x < 1 \\ \frac{2x-1}{2}\quad1 < x < 2 \\ 0, \quad x > 2 \end{cases}$$