Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2025 / Paper 2 / 5 / a / i

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- Solution i

Solution

The Waiting times of a Poisson process have an exponential distribution with the arrival rate. Measuring time in days, the survival function is

P (W > w) = e^{- α w}

. Therefore

P (W > 1) = e^{- 3} \approx 0.0497871,

or about $4.98%$ .

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