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You are tasked with improving an unbiased estimator of Bernoulli sample. Quantify the expected improvement and assess the practical benefit. Provide a concrete example, including

You are tasked with improving an unbiased estimator of Bernoulli sample. Quantify the expected improvement and assess the practical benefit. Provide a concrete example, including detailed explanations, formulas, and necessary visuals.

Please help me with the question, explanation, visuals/plots,

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