COURSE COVERAGE
Date  Coverage  Homework (from text, 3rd edition)  

Jan. 5  Introduction, course outline, definition of probability and basic properties.  Chapter 1: 4, 5, 7  
Jan. 7  Review of probability: permutations, combinations, conditional probability.  Chapter 1: 19, 21, 35, 38, 45, 46, 50, 53  
Jan. 10  Independence, random variables (discrete vs. continuous: cdf, pmf, pdf).  Chapter 1: 68, 69, 74, 80
Chapter 2: 3, 4, 8 

Jan. 12  Random variables: special discrete and continuous models, some examples.  Chapter 2: 1, 7 (also sketch the cdf), 14, 17, 27, 34, 35, 3840  
Jan. 14  Functions of random variables.  Chapter 2: 6, 21, 44, 56, 60, 61, 65  
Jan. 17  Functions of random variables  con't. QUIZ. 


Jan. 19  Joint cdf/pmfs. 


Jan. 21 


Jan. 24  The class was cancelled due to a prolongued fire alarm.  You can try working ahead on the Jan.26th homework.  
Jan. 26  Joint cdf/pdfs (continuation), independence. 


Jan. 28  Conditional distributions (discrete and continuous).  Chapter 3: 1b, 8c, 9b, 12c, 15e, 17c, 18d  
Jan. 31 



Feb. 2  SNOW DAY!  
Feb. 4  Transformations of bivariate RVs  Chapter 3: 4447, 5052, 56, 58 (you may be more comfortable with these after the next class)  
Feb. 7  The Jacobian and transformations of bivariate RVs. Quiz 2 was returned. 


Feb. 9  Bivariate transformations con't:

Chapter 3: 6064  
Feb. 11  We finished bivariate transformations and looked at Section 3.7: order statistics. 


Feb. 14  One more example from order statistics. Expectations of RVs.  Chapter 4: 2, 4, 6, 7  
Feb. 16  Expectations of RVs  con't.  Chapter 4: 14, 16, 1719, 30, 31 (posted late  my apologies!)  
Feb. 18  MIDTERM  
Feb. 21  25  READING WEEK  
Feb. 28 

Chapter 4: 4346, 48, 49, 54  
March 2  Conditional Expectation. Midterm was returned.  Chaper 4: 58, 59, 61abc, 62, 63, 66, 70, 75, 77  
March 4 



March 7 

Chapter 4: 8389, 94  
March 9 



March 11  LLN along with LLN simulations. Quiz 3 was returned.  Read Example A on page 179 and then work through 21 from Chapter 5.  
March 14  MIDTERM REWRITE  
March 16  Convergence in distribution and the CLT.  Chapter 5: 1117  
March 18  Method of moments and maximum likelihood estimation. 


March 21 

Chapter 8: 19ab, 21a  
March 23  MOM and MLE continued. MLE asymptotics.  6c, 7c, 10, 13, 16abc, 17abcd  
March 25  MLE asymptotics continued... Midterm rewrite was returned.  Read Section 8.5 from the textbook (all of it) and continue working on the problems previously assigned.  
March 28  Last lecture on MLEs  more examples. Visualising confidence intervals. Quiz 4 was returned. 
 
March 30 

Use the "important properties" to answer the following:


April 1  Section 6.3 of the text.  Chapter 6: 11  
April 4  Review  
April 5 (Tuesday!)  Review 