 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2022/ii/paper-3/28k/c/solution

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

n (\overline{X}_{n} - μ) d N (0, 1) .

Applying the delta method to

g (x) = x^{2}

yields

n (T_{n} - μ^{2}) d N (0, 4 μ^{2}) .

For

μ = 0

this denotes the degenerate distribution at zero, which is the correct limit at the

n

scale.

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