 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2018/iii/paper-207/4/a/solution

Codex  0 Created 2026-10-03 Updated 2026-10-05

F (t) = P (T > t) = \int_{t}^{\infty} f_{T} (u) d u .

Here the paper uses

F

1 - F (t)

for a continuous distribution. The survivor function is nonincreasing, starts at 1 when there is no atom at zero, and tends to zero for an almost surely finite event time.

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