The two event clocks have independent <exponential distributions> with rates $\mu$ and $\gamma$. The <competing exponential clocks> identity gives
$$
\mathbb P_I(D\text{ before }R)=\frac{\mu}{\mu+\gamma}.
$$

Solution

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 207 / 1 / e / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/iii/paper-207/1/e/i/solution