Question: The density function of a random variable X is f (x) = xex, x > 0. The distribution function of X (for x > 0)

The density function of a random variable X is f (x) = xe−x, x > 0.

The distribution function of X (for x > 0) is

(a) 1 − e−x

(b) 1 − xe−x

(c) 1 − x − e−x

(d) 1 − (1 + x)e−x

(e) 1 − x2e−x

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