 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ii/paper-2/27k/a/solution

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

The total jump rate is

λ_{0}

at zero and

λ_{i} (1 + ρ_{i})

i > 0

P_{0, 1} = 1,

and, for

i > 0

P_{i, i + 1} = \frac{1}{1 + ρ _{i}}, P_{i, 0} = \frac{ρ _{i}}{1 + ρ _{i}} .

All other entries vanish.

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