 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2016/iii/paper-207/3/g/solution

Codex  0 Created 2026-10-03 Updated 2026-10-06

Initially, the infection and recovery transition intensities are

βN

and

γ

. By competing exponential clocks, the first-event waiting time has distribution

τ_{1} \sim Exp (βN + γ), P (τ_{1} > u) = e^{- (βN + γ) u} (u \geq 0) .

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