c.d.f. \(F(t) = \int_{a}^{t} \mathrm{f}(x) \, \mathrm{d}x \, , \, a \leq t \leq b\)
p.d.f. \(\mathrm{f}(x) = \frac{\mathrm{d}}{\mathrm{d}x} F(x) = F'(x)\)
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