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Verify that f is a probability function

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Reference no: EM131139222

Given the fact that P(a ≤ x ≤ b) = a∫bf(x)dx and that -∞∫∞f(x)dx = 1. This means that all probabilities lie between 0 and 1.

Show that f(x) = xe-x if x ≥ 0 and f(x) = 0 if x < 0. Verify that f is a probability function.

Reference no: EM131139222

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