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Probability Program Assignment #1 Dice Probability Implementation

Probability Program Assignment #1 Dice Probability Implementation. Chan Chia -Chi ( 詹佳琦 ) Visual Communications Laboratory Department of Communication Engineering National Central University Jhongli , Taiwan March 16, 2011. 我們每個人都知道. 骰子是公平的骰子 骰子擲出的點數 , 其機率都為 ”1/6” 你能夠證明其機率真的是 1/6 嗎 ?.

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Probability Program Assignment #1 Dice Probability Implementation

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  1. Probability Program Assignment #1Dice Probability Implementation Chan Chia-Chi (詹佳琦) Visual CommunicationsLaboratoryDepartment of Communication EngineeringNational Central UniversityJhongli, Taiwan March 16, 2011

  2. 我們每個人都知道.. • 骰子是公平的骰子 • 骰子擲出的點數, 其機率都為”1/6” • 你能夠證明其機率真的是1/6嗎 ?

  3. 期望值 (Expected Value) • 假設我們知道每個骰子擲出點數的機率為1/6 • 期望值 :

  4. 標準差 (Standard Deviation) Step 1. Step 2.

  5. Homework(Part I) • Part I 統計PMF(Probability Mass Function) 擲骰子的次數 擲骰子出現個個點數的機率 <注意>骰子擲出的點數是Random產生的!!

  6. Homework(Part II) • Part II 畫期望值的圖(至少須畫出六個點, 如前頁p5所示->100次, 500次, 1000次, 2000次, 3000次, 5000次) 期望值 擲骰子的次數

  7. Homework (Part III) • Part III 畫標準差的圖(至少須畫出六個點, 如p5所示) 標準差 擲骰子的次數 • You can use Matlab or Excel to plot these two figures. (P6 and P7)

  8. Example • Part I :擲5次骰子, 得到的PMF • P(X=1)=2/5 , P(X=2)=3/5, P(X=3)=P(X=4)=P(X=5)=P(X=6)=0 • Part II : 擲五次骰子的期望值 • E[X]=1•2/5+2 •3/5=8/5 • Part III : 擲五次骰子的標準差 • 步驟:

  9. Grading • 統計PMF(20%) • 統計期望值並且畫出期望值圖(20%) • 統計標準差並且畫出標準差圖(20%) • 報告分析(40%) (若發現抄襲, 此部分為0分)

  10. Due Date • Due date : 2011.3.25(Fri.) 17:00 PM • 你可使用Matlab或Excel等工具畫圖, 但你只能使用 ”C Programming”去統計這些資料. • 將程式碼及報告在繳交期限內寄至: • urxd40@gmail.com ( No delay is allowed) • 格式為:系級_學號_姓名 (ex:通訊二_98xxxx_王曉明)

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