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