(Solution) - Requires mathematical statistics Showing 4 8 Suppose that n N 0 -(2025 Original AI-Free Solution)

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(Requires mathematical statistics.) Showing (4.8). Suppose that n/N ? 0 as n??, so that the fpc can be ignored. The central limit theorem tells us that under regularity conditions,

Where L denotes convergence in distribution. Show that the limiting distribution of

has mean 0 and variance