 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-2/12f/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Direct integration of the gamma density gives, for

t < 1

M_{S} (t) = \frac{1}{( n - 1 )!} \int_{0}^{\infty} s^{n - 1} e^{- (1 - t) s} d s = (1 - t)^{- n} .

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