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概率模拟演示

概率模拟演示
几何画板及绘图内容加载中，请稍等……
2016-06-09 03:56
函数微积分概率统计几何作图滑块动画
所属专题 Statistics Simulations Statistics Simulations
①本范例通过模拟演示了二项分布与超几何分布的随机过程；②涉及核心数学概念包括逻辑判断、饼图/圆形图表示、周长计算、超几何分布、定积分；③构造中运用了RandomBinomial命令生成随机数，If命令进行条件判断，Sum命令求和，DotPlot和BoxPlot命令进行数据可视化，对象包括多个A、B、C系列变量；④适合高中及以上学生用于概率统计学习和数据分析实践。

GeoGebra 命令及参数

  1. RandomBinomial(60, 1 / 60) → a
  2. If(Min[A2, B2] < C2 < Max[A2, B2], 1, 0) → D2
  3. If(Min[A3, B3] < C3 < Max[A3, B3], 1, 0) → D3
  4. If(Min[A4, B4] < C4 < Max[A4, B4], 1, 0) → D4
  5. If(Min[A5, B5] < C5 < Max[A5, B5], 1, 0) → D5
  6. If(Min[A6, B6] < C6 < Max[A6, B6], 1, 0) → D6
  7. If(Min[A7, B7] < C7 < Max[A7, B7], 1, 0) → D7
  8. If(Min[A8, B8] < C8 < Max[A8, B8], 1, 0) → D8
  9. If(Min[A9, B9] < C9 < Max[A9, B9], 1, 0) → D9
  10. If(Min[A10, B10] < C10 < Max[A10, B10], 1, 0) → D10
  11. If(Min[A11, B11] < C11 < Max[A11, B11], 1, 0) → D11
  12. If(Min[A12, B12] < C12 < Max[A12, B12], 1, 0) → D12
  13. If(Min[A13, B13] < C13 < Max[A13, B13], 1, 0) → D13
  14. If(Min[A14, B14] < C14 < Max[A14, B14], 1, 0) → D14
  15. If(Min[A15, B15] < C15 < Max[A15, B15], 1, 0) → D15
  16. If(Min[A16, B16] < C16 < Max[A16, B16], 1, 0) → D16
  17. If(Min[A17, B17] < C17 < Max[A17, B17], 1, 0) → D17
  18. If(Min[A18, B18] < C18 < Max[A18, B18], 1, 0) → D18
  19. If(Min[A19, B19] < C19 < Max[A19, B19], 1, 0) → D19
  20. If(Min[A20, B20] < C20 < Max[A20, B20], 1, 0) → D20
  21. If(Min[A21, B21] < C21 < Max[A21, B21], 1, 0) → D21
  22. If(Min[A22, B22] < C22 < Max[A22, B22], 1, 0) → D22
  23. If(Min[A23, B23] < C23 < Max[A23, B23], 1, 0) → D23
  24. If(Min[A24, B24] < C24 < Max[A24, B24], 1, 0) → D24
  25. If(Min[A25, B25] < C25 < Max[A25, B25], 1, 0) → D25
  26. If(Min[A26, B26] < C26 < Max[A26, B26], 1, 0) → D26
  27. If(Min[A27, B27] < C27 < Max[A27, B27], 1, 0) → D27
  28. If(Min[A28, B28] < C28 < Max[A28, B28], 1, 0) → D28
  29. If(Min[A29, B29] < C29 < Max[A29, B29], 1, 0) → D29
  30. If(Min[A30, B30] < C30 < Max[A30, B30], 1, 0) → D30
  31. If(Min[A31, B31] < C31 < Max[A31, B31], 1, 0) → D31
  32. If(Min[A32, B32] < C32 < Max[A32, B32], 1, 0) → D32
  33. If(Min[A33, B33] < C33 < Max[A33, B33], 1, 0) → D33
  34. If(Min[A34, B34] < C34 < Max[A34, B34], 1, 0) → D34
  35. If(Min[A35, B35] < C35 < Max[A35, B35], 1, 0) → D35
  36. If(Min[A36, B36] < C36 < Max[A36, B36], 1, 0) → D36
  37. If(Min[A37, B37] < C37 < Max[A37, B37], 1, 0) → D37
  38. If(Min[A38, B38] < C38 < Max[A38, B38], 1, 0) → D38
  39. If(Min[A39, B39] < C39 < Max[A39, B39], 1, 0) → D39
  40. If(Min[A40, B40] < C40 < Max[A40, B40], 1, 0) → D40
  41. If(Min[A41, B41] < C41 < Max[A41, B41], 1, 0) → D41
  42. If(Min[A42, B42] < C42 < Max[A42, B42], 1, 0) → D42
  43. If(Min[A43, B43] < C43 < Max[A43, B43], 1, 0) → D43
  44. If(Min[A44, B44] < C44 < Max[A44, B44], 1, 0) → D44
  45. If(Min[A45, B45] < C45 < Max[A45, B45], 1, 0) → D45
  46. If(Min[A46, B46] < C46 < Max[A46, B46], 1, 0) → D46
  47. If(Min[A47, B47] < C47 < Max[A47, B47], 1, 0) → D47
  48. If(Min[A48, B48] < C48 < Max[A48, B48], 1, 0) → D48
  49. If(Min[A49, B49] < C49 < Max[A49, B49], 1, 0) → D49
  50. If(Min[A50, B50] < C50 < Max[A50, B50], 1, 0) → D50
  51. If(Min[A51, B51] < C51 < Max[A51, B51], 1, 0) → D51
  52. If(Min[A52, B52] < C52 < Max[A52, B52], 1, 0) → D52
  53. If(Min[A53, B53] < C53 < Max[A53, B53], 1, 0) → D53
  54. If(Min[A54, B54] < C54 < Max[A54, B54], 1, 0) → D54
  55. If(Min[A55, B55] < C55 < Max[A55, B55], 1, 0) → D55
  56. If(Min[A56, B56] < C56 < Max[A56, B56], 1, 0) → D56
  57. If(Min[A57, B57] < C57 < Max[A57, B57], 1, 0) → D57
  58. If(Min[A58, B58] < C58 < Max[A58, B58], 1, 0) → D58
  59. If(Min[A59, B59] < C59 < Max[A59, B59], 1, 0) → D59
  60. If(Min[A60, B60] < C60 < Max[A60, B60], 1, 0) → D60
  61. If(Min[A61, B61] < C61 < Max[A61, B61], 1, 0) → D61
  62. If(Min[A62, B62] < C62 < Max[A62, B62], 1, 0) → D62
  63. If(Min[A63, B63] < C63 < Max[A63, B63], 1, 0) → D63
  64. If(Min[A64, B64] < C64 < Max[A64, B64], 1, 0) → D64
  65. If(Min[A65, B65] < C65 < Max[A65, B65], 1, 0) → D65
  66. If(Min[A66, B66] < C66 < Max[A66, B66], 1, 0) → D66
  67. If(Min[A67, B67] < C67 < Max[A67, B67], 1, 0) → D67
  68. If(Min[A68, B68] < C68 < Max[A68, B68], 1, 0) → D68
  69. If(Min[A69, B69] < C69 < Max[A69, B69], 1, 0) → D69
  70. If(Min[A70, B70] < C70 < Max[A70, B70], 1, 0) → D70
  71. If(Min[A71, B71] < C71 < Max[A71, B71], 1, 0) → D71
  72. If(Min[A72, B72] < C72 < Max[A72, B72], 1, 0) → D72
  73. If(Min[A73, B73] < C73 < Max[A73, B73], 1, 0) → D73
  74. If(Min[A74, B74] < C74 < Max[A74, B74], 1, 0) → D74
  75. If(Min[A75, B75] < C75 < Max[A75, B75], 1, 0) → D75
  76. If(Min[A76, B76] < C76 < Max[A76, B76], 1, 0) → D76
  77. If(Min[A77, B77] < C77 < Max[A77, B77], 1, 0) → D77
  78. If(Min[A78, B78] < C78 < Max[A78, B78], 1, 0) → D78
  79. If(Min[A79, B79] < C79 < Max[A79, B79], 1, 0) → D79
  80. If(Min[A80, B80] < C80 < Max[A80, B80], 1, 0) → D80
  81. If(Min[A81, B81] < C81 < Max[A81, B81], 1, 0) → D81
  82. If(Min[A82, B82] < C82 < Max[A82, B82], 1, 0) → D82
  83. If(Min[A83, B83] < C83 < Max[A83, B83], 1, 0) → D83
  84. If(Min[A84, B84] < C84 < Max[A84, B84], 1, 0) → D84
  85. If(Min[A85, B85] < C85 < Max[A85, B85], 1, 0) → D85
  86. If(Min[A86, B86] < C86 < Max[A86, B86], 1, 0) → D86
  87. If(Min[A87, B87] < C87 < Max[A87, B87], 1, 0) → D87
  88. If(Min[A88, B88] < C88 < Max[A88, B88], 1, 0) → D88
  89. If(Min[A89, B89] < C89 < Max[A89, B89], 1, 0) → D89
  90. If(Min[A90, B90] < C90 < Max[A90, B90], 1, 0) → D90
  91. If(Min[A91, B91] < C91 < Max[A91, B91], 1, 0) → D91
  92. If(Min[A92, B92] < C92 < Max[A92, B92], 1, 0) → D92
  93. If(Min[A93, B93] < C93 < Max[A93, B93], 1, 0) → D93
  94. If(Min[A94, B94] < C94 < Max[A94, B94], 1, 0) → D94
  95. If(Min[A95, B95] < C95 < Max[A95, B95], 1, 0) → D95
  96. If(Min[A96, B96] < C96 < Max[A96, B96], 1, 0) → D96
  97. If(Min[A97, B97] < C97 < Max[A97, B97], 1, 0) → D97
  98. If(Min[A98, B98] < C98 < Max[A98, B98], 1, 0) → D98
  99. If(Min[A99, B99] < C99 < Max[A99, B99], 1, 0) → D99
  100. If(Min[A100, B100] < C100 < Max[A100, B100], 1, 0) → D100
  101. If(Min[A101, B101] < C101 < Max[A101, B101], 1, 0) → D101
  102. Sum(D2:D101) → E2
  103. DotPlot(data, false, 0.2) → list1
  104. BoxPlot(4, 0.5, data) → b