 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ib/paper-2/8h/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-29

Let

S = \sum_{i = 1}^{n} X_{i}

be the number of heads. The likelihood function for the Bernoulli distribution sample is proportional to

θ^{S} (1 - θ)^{n - S}

[0, 1]

is the

Beta (1, 1)

θ ∣ X_{1}, \dots, X_{n} \sim Beta (S + 1, n - S + 1) .

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