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Binomial and Poisson Distributions Comparison

Binomial and Poisson Distributions Comparison
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2020-03-15 17:51
FunctionProbability & StatisticsGraphing
This example demonstrates the comparison of Binomial and Poisson distributions graphically, along with their comparison to the normal curve. Key math concepts include probability & statistics involving binomial distribution, Poisson distribution, normal distribution, and statistical characteristics. GeoGebra commands used are BinomialDist, Histogram, Poisson, and Normal for construction. Suitable for high school students and learners needing to understand the characteristics of probability distributions.

GeoGebra Commands & Parameters

  1. BinomialDist(n, p, B2, false) → C2
  2. BinomialDist(n, p, B3, false) → C3
  3. BinomialDist(n, p, B4, false) → C4
  4. BinomialDist(n, p, B5, false) → C5
  5. BinomialDist(n, p, B6, false) → C6
  6. BinomialDist(n, p, B7, false) → C7
  7. BinomialDist(n, p, B8, false) → C8
  8. BinomialDist(n, p, B9, false) → C9
  9. BinomialDist(n, p, B10, false) → C10
  10. BinomialDist(n, p, B11, false) → C11
  11. BinomialDist(n, p, B12, false) → C12
  12. BinomialDist(n, p, B13, false) → C13
  13. BinomialDist(n, p, B14, false) → C14
  14. BinomialDist(n, p, B15, false) → C15
  15. BinomialDist(n, p, B16, false) → C16
  16. BinomialDist(n, p, B17, false) → C17
  17. BinomialDist(n, p, B18, false) → C18
  18. BinomialDist(n, p, B19, false) → C19
  19. BinomialDist(n, p, B20, false) → C20
  20. BinomialDist(n, p, B21, false) → C21
  21. BinomialDist(n, p, B22, false) → C22
  22. BinomialDist(n, p, B23, false) → C23
  23. BinomialDist(n, p, B24, false) → C24
  24. BinomialDist(n, p, B25, false) → C25
  25. BinomialDist(n, p, B26, false) → C26
  26. BinomialDist(n, p, B27, false) → C27
  27. BinomialDist(n, p, B28, false) → C28
  28. BinomialDist(n, p, B29, false) → C29
  29. BinomialDist(n, p, B30, false) → C30
  30. BinomialDist(n, p, B31, false) → C31
  31. BinomialDist(n, p, B32, false) → C32
  32. BinomialDist(n, p, B33, false) → C33
  33. BinomialDist(n, p, B34, false) → C34
  34. BinomialDist(n, p, B35, false) → C35
  35. BinomialDist(n, p, B36, false) → C36
  36. BinomialDist(n, p, B37, false) → C37
  37. BinomialDist(n, p, B38, false) → C38
  38. BinomialDist(n, p, B39, false) → C39
  39. BinomialDist(n, p, B40, false) → C40
  40. BinomialDist(n, p, B41, false) → C41
  41. BinomialDist(n, p, B42, false) → C42
  42. BinomialDist(n, p, B43, false) → C43
  43. BinomialDist(n, p, B44, false) → C44
  44. BinomialDist(n, p, B45, false) → C45
  45. BinomialDist(n, p, B46, false) → C46
  46. BinomialDist(n, p, B47, false) → C47
  47. BinomialDist(n, p, B48, false) → C48
  48. BinomialDist(n, p, B49, false) → C49
  49. BinomialDist(n, p, B50, false) → C50
  50. BinomialDist(n, p, B51, false) → C51
  51. BinomialDist(n, p, B52, false) → C52
  52. BinomialDist(n, p, B53, false) → C53
  53. BinomialDist(n, p, B54, false) → C54
  54. BinomialDist(n, p, B55, false) → C55
  55. BinomialDist(n, p, B56, false) → C56
  56. BinomialDist(n, p, B57, false) → C57
  57. BinomialDist(n, p, B58, false) → C58
  58. BinomialDist(n, p, B59, false) → C59
  59. BinomialDist(n, p, B60, false) → C60
  60. BinomialDist(n, p, B61, false) → C61
  61. BinomialDist(n, p, B62, false) → C62
  62. BinomialDist(n, p, B63, false) → C63
  63. BinomialDist(n, p, B64, false) → C64
  64. BinomialDist(n, p, B65, false) → C65
  65. BinomialDist(n, p, B66, false) → C66
  66. BinomialDist(n, p, B67, false) → C67
  67. BinomialDist(n, p, B68, false) → C68
  68. BinomialDist(n, p, B69, false) → C69
  69. BinomialDist(n, p, B70, false) → C70
  70. BinomialDist(n, p, B71, false) → C71
  71. BinomialDist(n, p, B72, false) → C72
  72. BinomialDist(n, p, B73, false) → C73
  73. BinomialDist(n, p, B74, false) → C74
  74. BinomialDist(n, p, B75, false) → C75
  75. BinomialDist(n, p, B76, false) → C76
  76. BinomialDist(n, p, B77, false) → C77
  77. BinomialDist(n, p, B78, false) → C78
  78. BinomialDist(n, p, B79, false) → C79
  79. BinomialDist(n, p, B80, false) → C80
  80. BinomialDist(n, p, B81, false) → C81
  81. BinomialDist(n, p, B82, false) → C82
  82. BinomialDist(n, p, B83, false) → C83
  83. BinomialDist(n, p, B84, false) → C84
  84. BinomialDist(n, p, B85, false) → C85
  85. BinomialDist(n, p, B86, false) → C86
  86. BinomialDist(n, p, B87, false) → C87
  87. BinomialDist(n, p, B88, false) → C88
  88. BinomialDist(n, p, B89, false) → C89
  89. BinomialDist(n, p, B90, false) → C90
  90. BinomialDist(n, p, B91, false) → C91
  91. BinomialDist(n, p, B92, false) → C92
  92. BinomialDist(n, p, B93, false) → C93
  93. BinomialDist(n, p, B94, false) → C94
  94. BinomialDist(n, p, B95, false) → C95
  95. BinomialDist(n, p, B96, false) → C96
  96. BinomialDist(n, p, B97, false) → C97
  97. BinomialDist(n, p, B98, false) → C98
  98. BinomialDist(n, p, B99, false) → C99
  99. BinomialDist(n, p, B100, false) → C100
  100. BinomialDist(n, p, B101, false) → C101
  101. BinomialDist(n, p, B102, false) → C102
  102. BinomialDist(n, p, B103, false) → C103
  103. BinomialDist(n, p, B104, false) → C104
  104. BinomialDist(n, p, B105, false) → C105
  105. BinomialDist(n, p, B106, false) → C106
  106. BinomialDist(n, p, B107, false) → C107
  107. BinomialDist(n, p, B108, false) → C108
  108. Histogram(list1, list2) → a
  109. Poisson(λ, false) → h
  110. Normal((n * p), sqrt((n * (p * (1 - p)))), x) → j
  111. Normal(λ, sqrt(λ), x) → k