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This interactive tool is designed for learning statistics and probability. Users can select different distributions and set parameters. The system generates sample data in real time, dynamically demonstrating how the sample mean converges to the expected value as the sample size increases. The app also plots a convergence curve, visually demonstrating the core concept of the law of large numbers and deepening understanding of probability convergence and mean stability. Results can be exported as PDF reports with one click, facilitating classroom presentations and assignment submissions. A built-in history record function allows for saving and reviewing each simulation parameter and result, making it an ideal tool for learning statistics and probability theory.

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