FALL 2009

21-325 PROBABILITY

Instructor: Kavita Ramanan
Office: Wean Hall 6204
Phone: (412) 268-8485
Fax: (412) 268-6380
E-mail: kramanan@andrew.cmu.edu
Class time/place: MWF (9:30--10:20 a.m.) at Porter Hall 125C
Office hours with Prof. Ramanan: Mondays 11:00--12:00 a.m. Tuesdays, 3:00--4:00 p.m., by appointment, WH 6204
Additional office hours with grader, Rohit Garg, Thursdays, 7:00--8:00 p.m., Wean Hall 5310, rohitgar@andrew.cmu.edu

I. General Information

Course Outline pdf file

II. Homeworks

Homework 1 pdf file solutions pdf file
Homework 2 pdf file solutions pdf file
Homework 3 pdf file solutions pdf file
Homework 4 pdf file solutions pdf file
Homework 5 pdf file solutions pdf file
Homework 6 pdf file solutions pdf file
Homework 7 pdf file solutions pdf file
Homework 8 pdf file solutions pdf file
Homework 9 pdf file solutions pdf file

III. Practice Problems

Review Problems for Test 1 pdf file solutions pdf file
Review Problems for Test 2 pdf file solutions pdf file
Supplementary Solutions to Test 2 pdf file
Syllabus and Review Problems for Test 3 pdf file solutions pdf file

IV. Selected Lecture Notes

Lecture 3 (August 28): Selected Problems pdf file
Lecture 5 (September 2): A Problem pdf file
Lecture 8 (September 11): Using conditioning arguments and recursions pdf file
Poisson Approximation (October 26): pdf file
Markov chains (October 27): Basic definitions pdf file
Markov chains (October 30): Basic properties pdf file
Distributions of Functions of Many Random Variables (November 2): pdf file
Conditional Expectations (Nov 9, 11): pdf file

V. Supplementary Material

On solving recursions pdf file
Some math background pdf file
Some common math notations pdf file
Determinants and Jacobians (November 2): pdf file

VI. Performance feedback

Test 1 and mid-term score (thus far) distribution: pdf file
All HWs (thus far) & Test 1 Scores and mid-term score = 0.35 (sum of best 5 HWs) + 0.65 (Test 1) distribution: pdf file
Recall that final score will be calculated as 0.35(final)+0.5(sum of best 2 tests)+0.15(sum of 10 best homeworks)
Test 2 Statistics pdf file
Test 3 Statistics and cumulative score pdf file
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