All numbers indicate sections from Mathematical Statistics and its Applications -- Fifth 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
Tuesday |
Thursday |
| Sept. 3 |
Sept. 5 Lecture #1: Introduction to Probability Sample Spaces Sets |
| Sept. 10 Lecture #2: Set Algebra Axioms of Probability Homework Due: R 2.1-2.4 |
Sept. 12 Lecture #3: Conditional Probability Homework Due: R 2.5 Written Homework #1: C 2.2: 1,2,4 C 2.3: 1,2,5,10 C Additional Problems NC 2.2: 3 NC 2.3: 3,4,6,8,17 |
| Sept. 17 Quiz #1 Lecture #4: Bayes' Theorem Testing for Rare Disease Independence Homework Due: R 2.6 |
Sept. 19 Lecture #5: Combinatorics Permutations and Combinations Homework Due: R 2.7 Written Homework #2: C 2.3:15 C 2.4:2,7,8,9,12,25,26,28,34,40,44 C Additional Problems NC 2.4: 10,11,16,17,19,27,33,45,47,50 |
| Sept. 24 Quiz #2 Lecture #6: Poker Probability Binomial Theorem Multinomial Coefficients Homework Due: R 3.1-3.2 |
Sept. 26 Office hours 11-12 today Lecture #7: Random Variables Binomial Distribution Homework Due: Written Homework #3: C 2.5: 2,5,7,14,26 C 2.6: 4,53,60 C 2.7: 2,8,16 C Additional Problems NC 2.5: 1,3,15,18,23,25 NC 2.6: 1,5,7,17,18,29,59 |
| Oct. 1 Quiz #3 Lecture #8: Hypergeometric Distribution Geometric Distribution Discrete Random Variables Homework Due: R 3.3 |
Oct. 3 Lecture #9: Distributions of Random Variables Continuous Distributions Homework Due: R 3.4 Written Homework #4: C 3.2: 2,8,11,16,20,22,33 C 3.3: 1,2,4,11 NC 3.2: 3,7,15,23,27 NC 3.3: 3,5,7 |
| Oct. 8 Lecture #10: Continuous Cumulative Distribution Function Exponential Distribution Homework Due: R 3.5 |
Oct. 10 Exam 1 Homework Due: R 3.4 Written Homework #5: C 3.3: 13 C 3.4: 1,2,4,6,10,12 C Additional Problems NC 3.3: 8,15 NC 3,5,7,9,11,13,15 |
| Oct. 15 Lecture #11: Expected value for Discrete Distributions Expected value for Continuous Distributions Homework Due: R 3.5 |
Oct. 17 Lecture #12: Expected Value of f(X) Homework Due: R 3.6 Written Homework #6: C 3.4: 14 C 3.5: 2,4,8ad,12,22 C Additional Problems NC 3.4: 5,11,13,15,17,26 |
| Oct. 22 Quiz #4 Lecture #13: Mode, Median Variance Homework Due: R 3.7 |
Oct. 24 Lecture #14: Higher Moments Review of Distributions Joint Densities Homework Due: Written Homework #7: C 3.5: 28,32,34 C 3.6:2,6,8 C Additional Problems NC 3.5: 29,31,33 NC 3.6:3,5,7 |
| Oct. 29 Quiz #5 Lecture #15: Joint Densities for Continuous RV Joint CDFs Homework Due: R 3.8 |
Oct. 31 Lecture #16: Independent Random Variables Homework Due: Written Homework #8: C 3.6: 15,16,20 C 3.7:6,8,10,16,19ce,20ab,22 NC 3.6:11,13,17,25 NC 3.7: 11,13,19bg |
| Nov. 5 Lecture #17: Multivariate Densities Random Samples Transforming Random Variables Homework Due: R 3.9 |
Nov. 7 Lecture #18: Transformation of quotient of Independent Random Variables Expected Value for joint Distribution Sample Mean Homework Due: Written Homework #9: C 3.7: 28ac,30,36,41,42,44 C 3.8: 2,6,10a C Additional Problems NC 3.7: 43,45,51 NC 3.8: 1a,3,4,5 |
| Nov. 12 Lecture #19: Mean and Variance of Joint Distributions Covariance Poisson Distribution Homework Due: R 4.1 |
Nov. 14 Exam 2 Topics TBA Homework Due: Written Homework #10: C 3.9: 2,8,10,14 C Additional Problems NC 3.9: 3,9,13,15,18 |
| Nov. 19 Lecture #20: Poisson Processes Waiting Times Homework Due: R 4.3 |
Nov. 21 Lecture #21: de Moivre-Laplace Theorem Normal Distribution Homework Due: Written Homework #11: C 4.2:2,4a,7,8,10,23,24,26,29 C Additional Problems NC 4.2:5,6,9,22,30 |
| Nov. 26 Quiz #6 Lecture #22: Using Normal to Approximate Binomial Moment Generating Functions Homework Due: R 3.12 |
Nov. 28 Thanksgiving |
| Dec. 3 Lecture #23: Computing MGFs Central Limit Theorem |
Dec. 5 Lecture #24: Proof of the Central Limit Theorem Gamma Distribution Homework Due: R 4.6 Written Homework #12: C 4.3: 1bc,8,10,24,26,28 C 3.12: 6,20 C Additional Problems NC 4.3: 3,5,7,21,22,27,31,34 NC 3.12: 3,7,9 |
| Dec. 10 Quiz #7 Lecture #25: Examples of CLT χ2 |
Dec. 12 Lecture #26: Questions for Exam Homework Due: Written Homework #13: C Additional Problems |