Schedule

 Week Date Topic Practice Problems 
   1 Th 09/28 Review of the course syllabus. Introduction and basic concepts. Sections 1.1-1.4.   
   2 Tu 10/03 Definition of probability and finite sample spaces. Sections 1.5-1.6. Set Theory
Solutions
   Th 10/05 Counting methods. Combinatorial methods. Sections 1.7-1.8. Counting
Solutions
   3 Tu 10/10 Union of events. Conditional probability and independent events. Sections 1.10 and 2.1-2.2. Conditonal Probability
Solutions
   Th 10/12 Bayes' Theorem. Section 2.3.  
   4 Tu 10/17 Discrete random variables. Examples of discrete random variables. Sections 3.1, 5.1-5.5. 
Quiz #1.		  
   Th 10/19 Examples of discrete random variables. Sections 5.1-5.5  Dscrt RV
Solutions
   5 Tu 10/24 Continuous random variables. The CDF. Sections 3.2-3.3.   Cnt RV
Solutions
   Th 10/26 Bivariate distributions and marginal distributions. Sections 3.4 and 3.5. Bivariate RVs
Solutions
   6 Tu 10/31 Review  
   Th 11/02 Midterm  
   7 Tu 11/07 Conditional distributions. Section 3.6  Conditional
Solutions
   Th 11/09 Functions of random variables. Sections 3.8-3.9. Functions
Solutions
   8 Tu 11/14 Markov chains. Section 3.10   
   Th 11/16 Expectation and variances. Section 4.1-4.3 and 5.1-5.5.   Expectation
Solutions
   9 Tu 11/21 Covariance and conditional expectation. Sections 4.6-4.7.   
   Th 11/23 THANKSGIVING
  10 Tu 11/28 The normal distribution. Markov and Chebyshev's inequalities. The law of large numbers. Sections 5.6, 6.1-6.2.
Quiz #2.
   Th 11/30 The law of large numbers and the central limit theorem. Sections 6.2-6.3 Normal
Solutions
  11 Tu 12/05 More CLT examples. Other distributions: the gamma and beta distributions. The Poisson process.   
  Th 12/07 Review. 
Quiz #3 (optional).		  
  Tu 12/12 Final (two hours: 1:00 to 3:00)