Question: Let F (x) = 3x 2x 2 for 0 x 1, F (x) = 0 for x 0, and F (x)

Let F (x) = 3x − 2x2 for 0 ≤ x ≤ 1, F (x) = 0 for x ≤ 0, and F (x) = 1 for x ≥ 1. Is F a distribution function? If so, find its density function.

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