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Binomial and Poisson Distributions Comparison by Josh Dimick

Binomial and Poisson Distributions Comparison by Josh Dimick
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2014-11-30 06:18
FunctionProbability & StatisticsGraphing
This example demonstrates the comparison between the Binomial and Poisson distributions and their relation to the normal curve. Key math concepts include probability & statistics: Binomial Distribution, Poisson Distribution, Normal Distribution, Standard Deviation. Construction involves commands like BinomialDist, Histogram, Poisson, Normal, and objects such as n (number of trials), p (probability of success). Suitable for high school students and learners needing to understand 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

AI Drawing Prompt Reference

Create a chart comparing the binomial and Poisson distributions in relation to the normal curve. Include multiple histograms of binomial distributions, along with corresponding Poisson and normal distribution curves. Set parameters n (number of trials) and p (probability of success) to observe how the distributions relate and change. Start by plotting the basic binomial histograms, then overlay the Poisson and normal curves for a comparative display on the same coordinate system.
The prompt above was compiled from the original drawing commands and is for reference only.