Schedule
You are responsible for all material
on this page.
This schedule will contain the reading assignments from the book, the additional reference materials that will
need to be viewed, the due date for the online quizzes, worksheets, due date for the worksheets and project, and when classes are
cancelled (PSO). The answers to
the worksheets will be on Blackboard.
This schedule is tentative and subject to change.
All updates and changes will be in red.
Week  Date (Sun.)  Sunday  Monday  Tuesday  Wednesday  Thursday  Friday 
1  1/10  First day of class  PSO • Review of Notation • Discussion of contents of Part I • Discussion of set theory (please read the Set Theory reading on Friday) • Worksheet (W1W) on Set Theory and Venn Diagrams 
Reading Book: Notation Review, Math Review, Chapter 1 Set Theory internet (1.2.0, 1.2.1, 1.2.2) Set Theory Previous book definitions (pdf/video) sample space 1 (pdf/video) sample space 2 (pdf/video) HowManyEvents (pdf/video) kinds of events (pdf/video) Assignment due Online Quiz: Chapter 1 due (midnight) 
In Class Worksheet W1F: Sample Space and Set Theory Assignments due Questionnaire Due (in class) Online Quiz: Syllabus due (midnight) 

2  1/17  No Class: Martin Luther King Jr  Reading Book: Chapter 2 We will cover some important parts of 2.5 in class on Wednesday Slides for Chapter 2 Definitions of Axiom, Theorem, etc. (You will need to look up the definitions that you want.) Types of Probability axioms (pdf/video) union(finite) (pdf/video) empty set (pdf/video) EquallyLikely1 (pdf/video) EquallyLikely2 (pdf/video) EquallyLikely3 (pdf/video) Partition (pdf/video) Inclusion/Exclusion (pdf1/pdf2/video) Example Inclusion/Exclusion (Addition Rule #2) Assignment due Online Quiz: Chapter 2 due (midnight) 
In Class Lecture  story problems, philosophy of proofs, discussion of material not in the book Assignments due Worksheet W1F due 
In Class InClass Activities: Types of Probabilities Worksheet W2F: Disjoint, etc. 

3  1/24  Reading Book: Chapter 4 Note: We are discussing Chapter 4 BEFORE Chapter 3 Slides CondProb (pdf/video) Example1(pdf/video) Example2 (pdf/video) CondProbLaws (pdf/video) Example3 (pdf/video) Example4(pdf/video) Assignment due Online Quiz: Chapter 4 due (midnight) 
In Class Worksheet W3M: Conditional Probability 
Reading Book: Chapter 3 (Section 3.3:Good before bad ONLY the theorem, no examples/proof) Slides Independence (pdf/video) Ind (Conditional) (pdf/video) Ind/Disjoint (pdf/pdf/video) IndMoreThan2(pdf/video) Pairwise Independence Examples (pdf/video) More Examples Assignments due Online Quiz: Chapter 3 due (midnight) 
In Class Worksheet W3W: Independence Assignments due Worksheet W2F due 
PSO Worksheet W3F: Conditional Probabilities, Independence, Proofs 

4  1/31  Reading Book: Chapter 5 + Extra readings Bayes' 1 (pdf/video) Example1 (pdf/video) Bayes' 2(pdf/video) Example2 (pdf/video) Bayes' 3 (pdf/video) Example3 (pdf/video) Bayes' 4 (pdf/video) MultRule(pdf/video) MultiRule Comment Bayes/Tree Diagram Polya's Urn Examples Electrical Circuits and Probability Assignments due Online Quiz: Chapter 5 due (midnight) 
In Class Worksheet W4M: Bayes, etc. Assignments due Worksheet W3M due Worksheet W3W due 
Reading Book: Chapters 22, 23 I have provided the pdfs/mp4s and additional readings. We will not be covering Section 21.3: Seating Arrangements Slides for Combinatorics Equally Likely (Review) (pdf/video) BCR (pdf/video) Permutation (pdf/video) Combination (pdf/video) SB (pdf/video) Binomial Coefficient background  read mostly the first page and the Binomial Theorem no SB Community College no SB YouTube Permutations and Combinations Precalc SB Wikipedia SB Be careful about terminology SB Examples Examples Ordered Partition Assignments due Online Quiz: Chapters 22,23 due (midnight) 
In Class Lecture on Combinatorics You will only need to read/watch the pdf/mp4s for class. Please go over the rest of the material for the next quiz.  PSO Chapter 6 Worksheet W4F: Chapter 6 

5  2/7  In Class Review for Exam 1 Assignments due Worksheet W4M due 
In Class Exam 1 
Assignments due Online Quiz: Chapters 22, 23 Review due (midnight) This quiz will be more involved than the quiz due on Feb. 1. 
In Class Worksheet W5F: Combinatorics 1 

6  2/14  In Class Exam Returned Worksheet W6M: Combinatorics 2 
Reading Book: Chapters 7 and 8 Slides for Chapters 7 and 8 RandomVariable (pdf/video) Example 1 (pdf/video) Example 2 (pdf/video) DiscreteVsCont (pdf/video) Probabilities (pdf/video) Indicators (pdf/video) OutcomesP=0 (pdf/video) Random Variable vs. Algebraic Variables PMF (pdf/video) Example 1 (pdf/video) CDF (pdf/video) CDFNondecreas (pdf/video) Example 2 (pdf/video) Example 3 (pdf/video) Properties of PMF (we use p(x) instead of f(x) for the pmf) Properties of CDF 1  3, 6: Some of these are for continuous random variables Assignments due Online Quiz: Chapters 7 and 8 due (midnight) 
In Class Worksheet W6W: Discrete RV Brief Lecture on PMF/CDF (Slides) 
PSO Go over Exam 

7  2/21  Reading Chapter 9 Slides for Chapter 9 Joint (pdf/video) Example 1 (pdf/video) Joint>Single (pdf/video) Conditional (pdf/video) IndependentRV (pdf/video) Example 2 (pdf/video) Indicator (pdf/video) Collection (pdf/video) Marginal Distribution Joint Random Variables Sections 5.1.0  5.1.3 (5.1.4 is Chapter 11) Joint CDF Properties Probabilities Assignments due Online Quiz: Chapter 9 due (midnight) 
In Class Worksheet W7M: Joint Distributions Discrete Assignments due Worksheet W5F due Worksheet W6M due Worksheet W6W due  Reading Book: Chapters 10 and 11 Slides for Chpts 10 and 11 Expected1 (pdf/video) Expected2 (pdf/video) Expected3 (pdf/video) Example 1 (pdf/video) Example 2 (pdf/video) ExpectedSum (pdf/video) Example1a (pdf/video) Example2a (pdf/video) Assignments due Online Quiz: Chapters 10 and 11 due (midnight) 
In Class Worksheet W7W: Expected Values Very brief lecture on the derivation of Expected Values 
PSO Indicator Variables  lecture? Worksheet? 

8  2/28  Reading Book: Chapter 12 Slides for Chapter 12 ExpectedFunc (pdf/video) Example1b (pdf/video) Variance1 (pdf/video) Example1c (pdf/video) Variance2 (pdf/video) Variance3 (pdf/video) More Facts about Variance My (Findsen) Five Friendly Facts about Variance Assignments due Online Quiz: Chapter 12 due (midnight) 
In Class Worksheet W8M: Variance Assignments due Worksheet W7M due Worksheet W7W due 
Reading Book: Chapters 14 and 15 Slides for Chapters 14,15 Bernoulli Random Variable (14) Bernoulli (pdf/video) mass/CDF (pdf/video) Example (pdf/video) Binomial Random Variable (15) Binomial (pdf/video) mass (pdf/video) Expected/Var (pdf/video) Example1 (pdf/video) Example2 (pdf/video) BINS Slide 2 Assignments due Online Quiz: Chapters 14 and 15 due (midnight) 
In Class Worksheet W8W: Bernoulli and Binomial 
PSO Worksheet W8F: Chapter 13: Review of Part 2 

9  3/6  Reading Book: Chapter 18 Slides for Chapters 8 Poisson Random Variable Poisson (pdf/video) Example (pdf/video) Conditional (pdf/video) Exampled/Var (pdf/video) ApproxBinomial (pdf/video) Derivation from Binomial (Equation 4) Also look at Remark 18.13 Poisson Process Page 1 Assignments due Online Quiz: Chapter 18 due (midnight) 
In Class Lecture: Binomial setting, Poisson process, etc. Assignments due Worksheet W8M due 
Assignments due Online Quiz: Chapter 18  the real chapter 18  due (midnight) 
In Class Worksheet W9W: Poisson Corrected again (Friday) the mistakes that I found in class, 3/11/15 
PSO  
3/13  SPRING BREAK  SPRING BREAK  SPRING BREAK  SPRING BREAK  SPRING BREAK  SPRING BREAK  
10  3/20  Reading Book: Chapter 16 Slides for Chapter 16 Be sure to read the summary slides Geometric Random Variable Geometric (pdf/video) derivation (pdf/video) Expected/Var (pdf/video) #Failures (pdf/video) inequalities (pdf/video) Memoryless (pdf/video) WhichRandom (pdf/video) Why is it called Geometric? (1) Why is it called Geometric? (2) Assignments due Online Quiz: Chapter 16 due (midnight) 
In Class Worksheet W10M: Geometric Assignments due Worksheet W8W due Worksheet W9W due 
Reading Book: Chapters 17 and 20 Slides for Chapters 17 & 20 Be sure to read the summary slides Negative Binommial Random Variable NegBin (pdf/video) derivation (pdf/video) Example (pdf/video) Expected/Var (pdf/video) Example2 (pdf/video) Additional Notes Discrete Uniform Random Variable D.Uniform (pdf/video) Example (pdf/video) Assignments due Online Quiz: Chapters 17 and 20 due (midnight)  In Class Worksheet W10W: Negative Bionomial and Discrete Uniform 
PSO  
11  3/27  Reading Book: Chapter 19 Slides for 19 Be sure to read the summary slide Hypergeometric Random Variable Hypergeometric (pdf/video) Example (pdf/video) BinomialApprox (pdf/video) Additional Notes Capture/Recapture and Binomial Approximation Capture/Recapture Why is it called Hypergeometric? Assignments due Online Quiz: Chapter 19 due (midnight) 
In Class Worksheet W11M: Hypergeometric Assignments due Worksheet W10M due Worksheet W10W due 
Reading Chapter 21 In Class Worksheet W11W Flow Chart 
PSO  
12  4/3  In Class Review for Midterm 2 Assignments due Worksheet W11M due Worksheet W11W due 
In Class Exam 2 
Reading Chapter 24 Slides for Chapters 24 Integration Review read p. xxii in the book read your favorite Calculus Textbook Chapter 25 in the textbook has some hints for multiple integration Integration Review Multiple Integration Review Continuous Random Variables PDF (pdf/video) PDF Example (pdf/video) CDF (pdf/video) CDF/PDF (pdf/video) CDF Example (pdf/video) CDF Example2 (pdf/video) Derivation of PDF PDF again CDF Finding Percentiles Assignments due Online Quiz: Chapter 24 due (midnight) Note: There will be some simple integrations on the quiz. 
In Class Worksheet W12F: Continuous 

13  4/10  Reading Chapters 25, 26, and 27 Slides for Chapters 25,26,27 The only difference between these sections and Chapter 9 is that we are replacing summations with integrals and p(x) with f(x). Therefore, the material is very similar to what we have covered before in Part 2. Joint (25) The examples in this section are hints on how to do the integration. Example 1 is covered on the W12F worksheet. Joint (pdf/video) Example1P1 (pdf/video) Example1P2 (pdf/video) Constant Joint (pdf/video) Marginal Dens (pdf/video) Example2 (pdf/video) Finding Percentiles Independent (26) Def (pdf/video) Example1 (pdf/video) Indep vs. Dep (pdf/video) Example2 (pdf/video) Conditional (27) Conditional (pdf/video) Conditional2 (pdf/video) Example1 (pdf/video) Example2 (pdf/video) Assignment due Online Quiz: Chapters 25, 26, and 27 due (midnight) 
In Class Hopefully return the exam. Worksheet W13M: Conditional and Independent Continuous 
Reading Book: Chapters 28 and 29 Slides for Chapters 28,29 The only difference between these sections and Chapters 10, 11, and 12 is that we are replacing summations with integrals and p(x) with f(x). Therefore, the material is very similar to what we have covered before in Part 2. All of the rules of Expectations and Variances are the same as before. Expected Value (28) ExpectedValue (pdf/video) Example1 (pdf/video) Example2 (pdf/video) Example3 (Joint) (pdf/video) Variance (29) Func/Var (pdf/video) Example1 (pdf/video) Example2 (pdf/video) Example3 (pdf/video) ExpValProp1 (pdf/video) ExpValProp2 (pdf/video) ExpValProp3 (pdf/video) VarProp (pdf/video) Expected values of Joint Functions Assignments due Online Quiz: Chapters 28 and 29 due (midnight) 
In Class Worksheet W13W: Expected values and Variance 
PSO Return Exam Worksheet W13F: Chapter 30 

14  4/17  Reading Book: Chapters 31 and 32 Slides for Chapters 31 and 32 Uniform PDF, CDF (pdf/video) ExpVal Var (pdf/video) Example (pdf/video) Conditional (pdf/video) Exponential PDF, CDF (pdf/video) ExpVal Var (pdf/video) Joint (pdf/video) Conditional (pdf/video) Poisson vs. Exponential Assignment due Online Quiz: Chapters 31 and 32 due (midnight) 
In Class Worksheet W14M: Uniform and Exponential Assignments due Worksheet W12F due Worksheet W13M due Worksheet W13W due 
Reading Book: Chapter 35 Slides for Chapter 35 Note: there are some Slides that are not in the book. Def, PDF (pdf/video) ExpVal Var (pdf/video) Std.Normal (pdf/video) Std.Normal2 (pdf/video) CDF Table (pdf/video) Example (pdf/video) Calculations Percentiles Assignment due Online Quiz: Chapter 35 due (midnight)  In Class Worksheet W14W: Normal 
PSO Assignments due Extra Midterm 2 due Project due 

15  4/24  Reading Book: 37.4, 37.5, Slides on Gamma and Beta Distributions Slides for Chapters 33 (brief), 34(brief), 37.4, 37.5 Gamma (Chapter 33) Gamma (pdf/video) Gamma2 (pdf/video) CDF/PDF (pdf/video) Facts (pdf/video) Please see the Slides above for uses of the Gamma Beta (Chapter 34) Beta (pdf/video) ExpVar (pdf/video) Plots (pdf/video) Please see the Slides above for uses of the Beta Normal Approximation to the Binomial Approx (pdf/video) Continuity Correction Youtube video Note: most books have np > 5, nq > 5, our textbook has npq ≥ 10 for the continuity correction to be valid. Assignment due Online Quiz (SHORT): Chapter 32,33,37.4,37.5 due (midnight Sunday) 
In Class Worksheet W15M: Normal Approximation to the Binomial Assignments due Worksheet W14M due Worksheet W14W due 
Reading Book: 38 Slides for Chapter 38 In Class Worksheet W15W: Review of named distributions Chapter 38 
In Class Review for Final Assignments due Worksheet W15M due Worksheet W15W due 

Finals Week  5/1  Wednesday  Official Final May 6 8:00 am  10:00 am UNIV 019 
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