The following information is available concerning Stat 515H, Fall 2009, MWF 11:15 a.m. – 12:05 p.m.

• General information
  
  
• Course syllabus
  
  
• Course Descriptions of Stat 515H and Stat 515
  
  
• Homework assignments
  
  
• Examinations
  
  
  • Midterm exam #1 is scheduled for Friday, October 16, 2009 from 11:15 a.m. until 12:10 p.m. in LGRT 123.
    • A document outlining the material to review for the exam is available online. Click here for the 7th edition of the course text. Click here for the 8th edition of the course text. I am unable to remove the last two lines in the online versions.
    
    
  • Midterm exam #2 is scheduled for Wednesday, November 18, 2009 from 11:15 a.m. until 12:10 p.m.
    • The exam will cover Chapter 4 and Chapter 5, focusing on the material covered in class and on the homework.
    • A document outlining the material to review for the exam is available online. Please disregard the material listed in Chapter 6. The exam will cover only the material in Chapter 4 and Chapter 5.
    • The exam will ask for definitions, statements of theorems, and computations. The exam will have no proofs.
    
    
  • The final exam is scheduled on Monday, December 14, 2009 from 8:00 a.m. until 10:00 a.m. in LGRT 1114. A document listing the sections covered by the final exam is available online. The complete final exam schedule for Fall 2009 is available online. This schedule shows the original room for our final exam, LGRT 123, but this room has been changed to LGRT 1114.
  
  
• Other material (page numbers in these documents refer to the 7th edition of the text)
  
  
  1. Definitions of "random" and "chance."
     
     
  2. Sign-up sheet.
     
     
  3. Article on coincidences from www.nytimes.com. This article mentions the birthday problem.
     
     
  4. Proof of Stirling's formula: page 1, page 2, and page 3. Except for the statement of Stirling's formula, you are not responsible for this material.
     
     
  5. Probabilities of 5-card poker hands. This is taken from http://www.math.hawaii.edu/~ramsey/Probability/PokerHands.html.
     
     
  6. Statement and proof of De Morgan's laws. For a more general formulation, see http://planetmath.org/encyclopedia/DeMorgansLaws.html.
     
     
  7. The probability of winning at craps is 244/495 = 0.492929. The analysis of the game of craps is available online: page 1, page 2, page 3, page 4, and page 5.
     
     
  8. Facts about E[X] and Var(X).
     
     
  9. Constructing binomial random variables.
     
     
  10. Poisson limit theorems and Poisson approximation.
      
      
  11. The birthday problem, exponential approximation, and Poisson approximation.
      
      
  12. Preliminaries concerning normal random variables.
      
      
  13. Normal random variables.
      
      
  14. Table 5.1. Area Φ(x) under the standard normal curve to the left of x.
      
      
  15. Interpolating Φ(x) for 0 < x < 3.49 not in Table 5.1.
      
      
  16. Facts about E[X] and Var(X)–#2. There is an error in line 2 of item 7: Var(X_i) = σ-squared (not Var(X_i) = μ).
      
      
  17. Central limit theorem. Enter "central limit theorem" in Google and visit several websites that illustrate this remarkable theorem.
      
      
  18. Law of large numbers, normal approximation, and Stirling's formula.
      
      
  19. An unbiased estimator of the variance of i.i.d. random variables.