All numbers indicate sections from Ross Sixth Edition.
R is for the reading assignment
C is for exercises that are assigned and will be collected
NC is for exercises that are assigned but will not be collected
Monday |
Wednesday |
Friday |
| Jan. 31 Lecture: Introduction to Probability Homework: R 1.1-1.4 Up to the Binomial Theorem |
Feb. 2 Lecture: Basic Principle of Counting Permutations and Combinations Homework: R Rest of 1.4 C Chap 1 Pr: 1,3,7,12,21 C Chap 1 Th: 2 NC Chap 1 Pr: 5,10,22 |
Feb. 4 Lecture: Special Time 8:40-9:20 Examples of Counting Homework: R 1.5 C Chap 1 Pr: 11,25,30 C Chap 1 Th: 7,8,9 NC Chap 1 Pr: 13,16 NC Chap 1 Th:6 |
| Feb. 7 Lecture: Binomial Theorem Multinomial Coefficients Homework: R 2.1-2.2 C Chap 1 Pr: 27 C Chap 1 Th: 10,13,15 NC Chap 1 Th: 11 |
Feb. 9 Lecture: Multinomial Coefficients Sets Homework: R 2.3 C Chap 2 Th: 2, 3, 4 ,5 |
Feb. 11 Lecture: Chap. 1 Quiz Homework Due: Chap. 1 Homework Homework: R 2.4 C 2 Pr: 1,2,3 C 2 Th: 6,7 |
| Feb. 14 Lecture: Events Axioms of Probability Homework: C 2 Pr 4, 5, 6 C 2 Th 9 (show it for Axiom 3a instead of 3) NC 2 Pr 7 |
Feb. 16 Lecture: Probability Theorems Axiom 3 Homework: R 2.5 C 2 Pr 8,9,10 C 2 Th 10,11,12 NC 2 Pr 13,14 NC 2 Th 13 |
Feb. 18 Lecture: More Axiom 3 Equally Likely Outcomes Homework Due: Homework Assigned: Feb. 9- Feb. 14 Homework: C 2 Pr: 15, 16, 17 C 2 Th: 16, 20 NC 2 Pr 18,23 |
| Feb. 21 Lecture: Computing Probabilities Homework: R 2.7 C 2 Pr 27, 29, 34, 36, 38, 54 NC 2 Pr 28, 47,48, 55 |
Feb. 23 Lecture: Bridge and Birthdays Intro to Conditional Probability Homework: R 3.1-3.2 C 2 Pr 50, 56 C 3 Pr 1,2 C 3 Th 1,2 |
Feb. 25 Lecture: Conditional Probability Homework: R 3.3 C 3 Pr 3,4,5,7,9 NC 3 Pr 8,10 NC 3 Th 5 |
| Feb. 28 Lecture: Chap 2 Quiz Multiplication Rule Bayes' Formula Homework Due: Rest of Chap. 2 Homework: C 3 Pr 13, 15, 18, 19, 26, 33 NC 3 Pr 20, 21 |
March 2 Lecture: Bayes' Formula Homework: R 3.4 C 3 Pr 35, 36, 41, 45, 47, 48, 49 NC 3 Pr 34, 37, 46 |
March 4 Lecture: Independent Events Homework: R 3.5 C 3 Pr 50, 58, 59, 60,69, 72, 73, 78 C 3 Th 8 NC 3 Pr 62, 64 |
| March 7 Lecture: More Independent Events Homework Due: Chap. 3 Homework Assigned from Feb. 23- March 2. Homework: R 4.1 C 3 Pr 39, 63, 66 C 3 Th 6, 7 C Extra Problem NC 3 Pr 60, 61 |
March 9 Lecture: Craps Random Variables Homework: C Study for Exam |
March 11 Lecture: Exam 1 Chapters 1,2,3 Homework: R 4.2 C 4 Pr 1,2,3,5,7,9 NC 4 Pr 4,8,10 |
| March 14 Lecture: Discrete Random Variables Probability Mass Function Homework: R 4.3 C 4 Pr 6,12,14,18 C 4 Th 3,4 NC 4 Pr 13,15 NC 3 Th 1 |
March 16 Lecture: Probability Density Function Expected Value Homework Due: Rest of Chap 3 Homework: R 4.4 C 4 Pr 17, 19, 20, 23, 30 C 4 Th 6 NC 4 Pr 16, 18, 21, 22 |
March 18 Lecture: Expected Value Variance Homework: R 4.5 C 4 Pr 21,26,27,37 C 4 Th 8,9 NC 4 Pr 31,34 |
| March 21 Easter/Spring Break |
March 23 Easter/Spring Break |
March 25 Easter/Spring Break |
| March 28 Easter/Spring Break |
March 30 Lecture: Variance Bernoulli and Binomial Random Variables Homework: R 4.6 C 4 Pr 33, 35, 38, 40, 50 C 4 Th 10, 13 NC 4 Pr 41,42,46 |
April 1 Lecture: Poisson Random Variables Homework Due: Chap. 4 Homework assigned through March 18 Homework: R 4.7 C 4 Pr 51, 52, 54, 55, 57 C 4 Th 16 NC 4 Pr 53, 56, 59, 60 NC 4 Th 18 |
| April 4 Lecture: More Poisson Geometric Distribution Homework: R 4.8 C 4 Pr 58, 61, 66, 67, 70, 73 C 4 Th 25 NC 4 Pr 64, 65 |
April 6 Lecture: Geometric Distribution Negative Binomial Distribution Homework: R 5.1 C 4 Pr 68, 77 NC 4 Pr 76 |
April 8 Lecture: Chapter 4 Quiz Continuous Random Variables Homework: R 5.2 C 5 Pr 1,2,3 NC 5 Pr 4 |
| April 11 Lecture: Continuous Random Variables Homework Due: Rest of Chapter 4 Homework: R 5.3 C 5 Pr 5,6,7,8 |
April 13 Lecture: Uniform Random Variables Normal Random Variables Homework: R 5.2 C 5 Pr 10, 11, 12 ,13 C 5 Th 6,8 NC 5 Pr 9,14 NC 5 Th 7 |
April 15 Lecture: Normal Random Variables Homework: R 5.3 C 5 Pr 15, 16, 17 ,18 ,21 C 5 Th 9 NC 5 Pr 19, 20, 22 |
| April 18 Lecture: The DeMoivre-Laplace Theorem Homework Due: Chap. 4 Homework assigned through April 13 Homework: R 5.4 C 5 Pr 23,24,27,28 C 5 Th 10 NC 5 Pr 25,26 |
April 20 Lecture: Exponential Random Variables Homework: R 5.5 C 5 Pr 31,32,33,34 C 5 Th 13,14 |
April 22 Lecture: Joint Distributions Homework: R 6.1 C Study for Exam |
| April 25 Lecture: Exam 2 Chapters 4,5 Homework: R 6.2 C 6 Pr 1,2,3,5,8 NC 6 Pr 4,6 |
April 27 Lecture: Independent Random Variables Homework Due: Rest of Chap. 5 Homework: R 6.3 C 6 Pr 9, 10, 16, 17, 20 C 6 Th 9 NC 6 Pr 21,22,23 |
April 29 Lecture: Sums of Independent Random Variables Homework: R 7.1 C 6 Pr 26, 27, 30, 32, 34 C 6 Th 6 (Hint: See Th 1.11 pg.19) NC 6 Pr 28, 29, 31 |
| May 2 Lecture: Expectation Revisited Expected Values of Sums Homework: R 7.2 C 7 Pr 1,2,3,6 C 7 Th 1 NC 7 Pr 4,5 NC Th 2 |
May 4 Lecture: Expected Values of Sums Homework: R 7.3 C 7 Pr 7,10,21,23,30,33 NC 7 Pr 11,13,15,22 |
May 6 Lecture: Variance and Covariance Moment Generating Functions Homework Due: Chap. 6 Homework Homework: R 7.6 C 7 Pr 38,39,40 NC 7 Pr 41,42 |
| May 9 Lecture: Moment Generating Functions Homework: R 8.1, 8.2 C 7 Pr 37, 75, 76 |
May 11 Lecture: Chebyshev's Inequality Law of Large numbers Homework: R 8.3 NC 8 Pr 1,2,4a NC 8 Th 1,2 |
May 13 Lecture: Central Limit Theorem Homework Due: Chap. 7 Homework Homework: NC 8 Pr 4b, 5, 6, 7, 8 |
| May 16 |
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