All numbers indicate sections from An Introduction to 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
Monday |
Wednesday |
Friday |
Aug. 31 |
Sept. 2 Lecture #1: Introduction to Probability Sample Spaces |
Sept. 4 Lecture #2: Set Algebra Axioms of Probability Homework Due: R Chap. 1 R 2.1-2.3 Written Homework #1: C 2.2: 1,2,4 NC 2.2: 3 |
Sept. 7 Labor Day |
Sept. 9 Lecture #3: Induction Axiom 3 Homework Due: R 2.4 |
Sept. 11 Lecture #4: Conditional Probability Bayes' Theorem Homework Due: R 2.5 Written Homework #2: C 2.3: 1,2,5,10 C Additional Problems NC 2.3: 3,4,6,8,17 |
Sept. 14 Quiz #1 Lecture #5: Testing for Rare Disease Homework Due: R 2.6 Written Homework #3: C 2.3:15 C 2.4:2,7,8,12,25 NC 2.4: 10,11,16,17 |
Sept. 16 Lecture #6: Independence |
Sept. 18 Lecture #7: Combinatorics Homework Due: Written Homework #4: C 2.4:9,26,28,34,40,44,50 C Additional Problems NC 2.4:7,11,19,27,33,45,47 |
Sept. 21 Quiz #2 Lecture #8: Permutations and Combinations Homework Due: R 2.7 Written Homework #5: C 2.5: 2,5,7,14,18,26 NC 2.5: 1,3,15,23,25 |
Sept. 23 Lecture #9: Multinomial Coefficients Binomial Theorem |
Sept. 25 Lecture #10: Sterling Formula Poker Probability's Birthday Problem More Urns Homework Due: Written Homework #6: C 2.6: 3,4,8,9,24,26,34,41 NC 2.6: 1,5,7,17,18,29 |
Sept. 28 Quiz #3 Lecture #11: Random Variables Homework Due: R 3.1-2 Written Homework #7: C 2.6: 19,59,60 C 2.7: 2,8,16 C Additional Problems NC 2.6: 22,54,57 NC 2.7: 1,3,7,22 |
Sept. 30 Lecture #12: Binomial and Hypergeometric Distributions Homework Due: R 3.3 |
Oct. 2 Lecture #13: Discrete Random Variables Homework Due: Written Homework #8: C 3.2: 2,8,16,20,22,29,33 NC 3.2: 3,7,11,15,23,27 Denotes extra credit |
Oct. 5 Lecture #14: Continuous Distributions Homework Due: R 3.3 Written Homework #9: C 3.3: 1,2,4,11,13 C Additional Problems NC 3.3: 3,5,7,8,15 |
Oct. 7 Lecture #15: Continuous Cumulative Distribution Function Homework Due: R 3.4 |
Oct. 9 Exam 1 Topics Chapter 2, 3.1-3.3 Written Homework #10: C 3.4: 1,2,4,6 NC 3,5,7,9 |
Oct. 12 Lecture #16: Exponential Distribution Expected value for Discrete Distributions |
Oct. 14 Lecture #17: Expected value for Continuous Distributions Homework Due: R 3.5 Written Homework #11: C 3.4: 10,12 C Additional Problems NC 3.4: 11,13,15 |
Oct. 16 Quiz #4 Lecture #18: Expected Value of f(X) Homework Due: R 3.6 Written Homework #12: C 3.4: 14 C 3.5: 2,4,8ad,12,22, 26 NC 3.5: 5,11,15,17 Denotes extra credit |
C 3.2: 2,8,16,20,22,29,33
Oct. 19 Lecture #19: Mode,Median |
Oct. 21 Quiz #5 Lecture #20: Variance Homework Due: Written Homework #13: C 3.5: 28,32,34 C Additional Problems NC 3.5: 29,31,33 |
Oct. 23 Fall Break |
Oct. 26 Lecture #21: Higher Moments Review of Distributions Homework Due: R 3.7 Written Homework #14: C 3.6:2,6,8 C Additional Problems NC 3.6:3,5,7 |
Oct. 28 Lecture #22: Joint Densities Joint Densities for Continuous RV |
Oct. 30 Quiz #6 Lecture #23: Joint CDFs Independent Random Variables Homework Due: R 3.8 Written Homework #15: C 3.6:13,15,16,20 C 3.7:6,8 NC 3.6:11,17,25 |
Nov. 2 Lecture #24: Multivariate Densities Random Samples Homework Due: Written Homework #16: C 3.7: 10,16,19ce,20ab,22 NC 3.7: 11,13,19bg |
Nov. 4 Lecture #25: Transforming Random Variables Homework Due: R 3.9 |
Nov. 6 Quiz #7 Lecture #26: Expected Value for joint Distribution Homework Due: Written Homework #17: C 3.7: 28ac,30,36,41,42,44 C Additional Problems NC 3.7: 43,45,51 |
Nov. 9 Lecture #27: Mean and Variance of Joint Distributions Homework Due: Written Homework #18: C 3.8: 4,6,10a C Additional Problems NC 3.8: 1a,3,5 |
Nov. 11 Lecture #28: Covariance Sample Mean Homework Due: R 3.9 |
Nov. 13 Exam 2 Topics 3.4-3.9 |
Nov. 16 Lecture #29: Poisson Distribution Homework Due: R 4.1 Written Homework #19: C 3.9: 2,8,10,14 C Additional Problems NC 3.9: 3,9,13,15,18 |
Nov. 18 Lecture #30: Poisson Processes Waiting Times | Nov. 20 Quiz #8 Covariance, Poisson Distribution Lecture #31: de Moivre-Laplace Theorem Homework Due: R 4.3 Written Homework #20: C 4.2:2,4a,10,23,24 C Additional Problems NC 4.2:5,6,22 |
Nov. 23 Lecture #32: Normal Distribution Homework Due: Written Homework #21: C 4.2: 7,8,26, 29 C Additional Problems NC 4.2: 9,30 |
Nov. 25 Thanksgiving Break |
Nov. 27 Thanksgiving Break |
Nov. 30 Lecture #33: Using Normal to Approximate Binomial | Dec. 2 Lecture #34: Moment Generating Functions Homework Due: R 3.12 Written Homework #22: C 4.3: 1bc,8,10 C Additional Problems NC 4.3: 3,5,7 |
Dec. 4 Lecture #35: Computing MGFs Homework Due: Written Homework #23: C 4.3: 16,22,24,26,28,34 NC 4.3: 21,27,31 |
Dec. 7 Quiz #9 Lecture #36: Central Limit Theorem Homework Due: Written Homework #24: C 3.12: 6,20 C Additional Problems NC 3.12: 3,7,9 |
Dec. 9 Lecture #37: Gamma Distribution |
Dec. 11 Lecture #38: Moments for Gamma Distritution Χ2 Homework Due: R 4.6 |
Dec. 14 Lecture #39: Questions for Exam Homework Due: Written Homework #25: C Additional Problems |
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