# Probability Syllabus - Fall 2009

8/211.3, 1.4Axioms and Basic Theorems1-4, 7-12, 14-16, 21, 24, 27-29
242.1, 2.2Counting 1-26
262.3, 2.5Permutations(2.3) 1-27 (2.5) 1
282.4Combinations1-8, 13-16, 18, 19, 26, 29, 34, 35
312.4More Combinations9-12, 17, 21, 23, 27, 30, 32, 39-43, 49
9/22.4Poker Probabilitiesworksheet
4 Quiz #1
93.1, 3.2Conditional Probability(3.1) 1-8, 11-15, 19, 23 (3.2) 1-6, 9
113.3, 3.4Bayes' Theorem(3.3) 1-4, 6-9, 12, 15 (3.4) 1-10, 12, 14, 15
143.5Independence1-17, 20-23, 25-31
16 Review(1) 4-12, 17
(2) 1-10, 16-20, 22-24
(3) 1-11, 13-15
18 Test #1
214.3 Discrete Random Variables 1-11
234.4Expected Value1-8, 10, 13, 14, 18
254.5Variance1-5, 7, 8, 13
285.1Binomial Distribution1-6, 11-15, 18-20, 24-26
305.2Poisson Distribution1-16, 19, 25, 26a, 27
10/25.3Other Distributions1, 3-16, 21, 22ab
5 Quiz #2
74.2, 6.1Continuous Random Variables (4.2) 5, 9-13, 19 (6.1) 1-11
126.3Expected Value and Variance1, 2, 4-6, 8-13, 15, 17ab, 18, 21
146.2Functions of Random Variables1-8
167,1, 7.3Uniform and Exponential (7.1) 1-3, 6, 9, 10, 12, 14 (7.3) 1-8, 14
197.2Normal Distribution1-20, 23, 24, 30, 33
217.4Gamma Distribution1-9
23 Review (4) 1-3, 5, 7
(5) 1-5, 7, 9-12, 15-17, 23, 26
(6) 1-12
(7) 1-6, 8-16
26 Test #2
288.1Joint Distributions1-7, 9-13, 17-19
308.2Independent Random Variables1-4, 6, 8-13, 21, 23
11/28.3Conditional Distributions1-7, 18, 19
48.4Functions of Several Variables1-4, 6-8, 10
69.2Order Statistics1-3, 6-9
9 Quiz #3
1110.1Expected Values of Sums3, 5, 6, 11-14
1310.2, 10.3Covariance and Correlation(10.2) 1-3, 5-12, 14, 18, 19, 21, 22
(10.3) 1, 2, 5, 6
1611.1Moment Generating Functions1-9, 11-15, 18, 20-22
1811.2Independent Sums1-5, 10-12, 15
2011.3, 11.4Laws of Large Numbers(11.3) 1-3, 5, 6, 8, 9 (11.4) 1-5
2311.5Central Limit Theorem1-8
30 Review(8) 1-4, 7-10, 13, 15, 18
(10) 1-4, 6-8, 12
(11) 1-7, 15-19
12/2 Test #3
4 Review for Final
7(2:00 pm)Final Exam