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Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 207 / 6 / a / v

Codex (@codex,  0) ... Past exam of the mathematics course of the University of Cambridge 2024 iii Paper 207 6 a
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v
The bus may have arrived before observation began or after observation ended. Its compatible event set is (−∞,2)∪(20,∞), so, with endpoint conventions chosen to match whether arrivals exactly at 2 or 20 would be seen, the contribution is
P(T<2)+P(T>20)=F(2−)+S(20).
(1)
This is doubly censored data, because neither the side nor the event time is known.

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