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正态近似

正态近似
几何画板及绘图内容加载中，请稍等……
2017-04-28 01:45
函数微积分概率统计
这个范例演示了二项分布如何在参数变化时近似为正态分布。核心数学概念包括二项分布、正态分布和概率。通过使用GeoGebra命令Sequence、Min、Max、Point和BarChart，可以直观地展示概率分布的变化。适合高中数学教学和学习概率统计。

GeoGebra 命令及参数

  1. Sequence(20, 20, 0, 20) →
  2. Min(x(Point[xAxis]) + 1.5, x(Point[xAxis]) + 1.5) →
  3. Max(x(Point[xAxis]) + 1.5, x(Point[xAxis]) + 1.5) →
  4. Point(xAxis) → A
  5. Point(xAxis) → B
  6. BarChart({0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, {9.53674316406251E-7, 1.9073486328125E-5, 1.81198120117188E-4, 0.00108718872070313, 0.00462055206298828, 0.0147857666015625, 0.0369644165039064, 0.0739288330078125, 0.120134353637695, 0.160179138183594, 0.176197052001953, 0.160179138183594, 0.120134353637695, 0.0739288330078125, 0.0369644165039064, 0.0147857666015625, 0.00462055206298828, 0.00108718872070313, 1.81198120117188E-4, 1.9073486328125E-5, 9.53674316406251E-7}, 1) → a
  7. Take({9.53674316406251E-7, 1.9073486328125E-5, 1.81198120117188E-4, 0.00108718872070313, 0.00462055206298828, 0.0147857666015625, 0.0369644165039064, 0.0739288330078125, 0.120134353637695, 0.160179138183594, 0.176197052001953, 0.160179138183594, 0.120134353637695, 0.0739288330078125, 0.0369644165039064, 0.0147857666015625, 0.00462055206298828, 0.00108718872070313, 1.81198120117188E-4, 1.9073486328125E-5, 9.53674316406251E-7}, x(A) + 1.5, x(B) + 1.5) → list1
  8. Take({0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}, x(A) + 1.5, x(B) + 1.5) → list2
  9. BarChart(list2, list1, 1) → b

AI 绘图提示语参考

绘制一个二项分布的条形图，横轴从0到20，纵轴显示概率值。随着参数变化，条形图逐渐逼近正态分布。首先绘制横轴，然后根据给定的概率值绘制条形图。
以上提示语为根据原始绘图命令整理而来，仅供参考。