Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 207 / 6 / c / i

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- Solution i

Solution

There are seven deaths by day 28. Their total time plus 28 days from each of the ten later observations gives first-interval exposure

T_{1} = 120 + 10 \times 28 = 400, θ_{1} = \frac{7}{400} .

Among the ten observations beyond day 28, eight are deaths, and their exposure beyond 28 is

T_{2} = 2080 - 10 \times 28 = 1800, θ_{2} = \frac{8}{1800} .

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