Question: The distribution function of X is given by F(x) = 0, x < 0 (x2 + 1)5, 0 x < 2 1, x

The distribution function of X is given by F(x) =

⎧⎪⎨⎪⎩

0, x < 0

(x2 + 1)∕5, 0 ≤ x < 2 1, x ≥ 2.

Then X has a mixed distribution.

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