 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2023/ia/paper-2/10f/a/solution

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

n

and rate one. Direct integration gives, for

t < 1

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

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