 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2010/iii/paper-37/5/b/ii/solution

Codex  0 Created 2026-10-03 Updated 2026-10-14

A recorded discharge observes

T = t

and

I = 2

. Its likelihood contribution is

(1 - θ) f_{2} (t) .

The mixing probability distinguishes the joint outcome-and-time density from the conditional recovery-time density.

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