 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-1/13k/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

For nonnegative

y_{i}

summing to

m

, divide the joint Poisson mass by

P (M = m) = e^{- λ_{+}} λ_{+}^{m} / m!

P (Y = y ∣ M = m) = \frac{m !}{\prod y _{i} !} \prod_{i} (\frac{λ _{i}}{λ _{+}})^{y_{i}} .

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