 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2015/iii/paper-35/7/3/solution

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

Integrate the type-A first-event density from zero to

t

. The type-A cumulative incidence is

F_{A} (t) = Pr (T \leq t, J = A) = \int_{0}^{t} α e^{- (α + β) u} d u = \frac{α}{α + β} (1 - e^{- (α + β) t}) .

1 - e^{- α t}

obtained by removing B.

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