Question: Let f(x) = xe x if x 0 and f(x) = 0 if x < 0. (a) Verify that f is a probability density

Let f(x) = xe–x if x ≥ 0 and f(x) = 0 if x < 0. 

(a) Verify that f is a probability density function.

(b) Find P(1 ≤ x ≤ 2).

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