F (x) = 3x 2 2x 3 for 0 < x < 1 (with F (x)
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F (x) = 3x2 − 2x3 for 0 < x < 1 (with F (x) = 0 if x ≤ 0 and F (x) = 1 if x ≥ 1) defines a distribution function. Find the corresponding density function.
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