MATH 240

Probability
Fall 2016

Instructor:
Prof. Adam Loy




Calendar

The course calendar will be updated throughout the term to reflect what we have covered/will cover in class. Additionally, homework assignments and reading/viewing assingments will be posted here. You should check this page often.

Week Date Lecture Assignment Reading/Viewing
1 Mon 9/12 Naive Definition of Probability and Multiplication Rule Chapter 1 #2, 3, 7
(Due 9/16)
1.1–1.4
Wed 9/14 Counting 1.4
Fri 9/16 Counting Chapter 1 #10, 21, 25, 33, 36
(Due 9/20)
1.4
2 Mon 9/19 Axioms and Properties Chapter 1 #50, 53
(Due 9/23)
1.6
Wed 9/21 Inclusion-Exclusion and Proofs 1.6
Fri 9/23 Conditional Probability Chapter 2 #4, 6, 11, 13, 60
(Due 9/28 in class)
2.1, 2.2
3 Mon 9/26 Bayes' rule and LOTP Chapter 2 #34, 54, 55
(Due 10/3 in class)
2.3, 2.4
Wed 9/28 Independence 2.5–2.8
Fri 9/30 Condtional independence and random variables 2.5, 3.1
4 Mon 10/3 Review
Wed 10/5 Exam I
(Practice Exam)
Fri 10/7 PMFs and CDFs Chapter 3 #5, 14, 15, 17
(Due 10/11)
3.1, 3.2, 3.6
5 Mon 10/10 Named distributions and functions of RVs Chapter 3 #30, 31, 40, 41, 44ab
(Due 10/14)
Read 3.3, 3.4, 3.5, 3.7
Watch Discrete uniform, Bernoulli, Binomial, Hypergeometric
Wed 10/12 Independence and Fisher's exact test Read 3.8, 3.9
Fri 10/14 Expectation and variance Chapter 4 #5, 6, 9, 12, 14 (Due 10/18) Read 4.1, 4.2, 4.4, 4.5
6 Mon 10/17 More named ditributions Chapter 4 #28, 34, 57, 73, 80 (due 10/26 in class) Read 4.3, 4.7, 4.8
Watch Geometric, First success,
Negative binomial, Poisson
Wed 10/19 Connections to the binomial and continuous RVs Read 5.1
Fri 10/21 No Class – MTRP
7 Mon 10/24 Continuous RVs Read 5.1
Wed 10/26 Review
Fri 10/28 Exam II
(Practice Exam)
8 Mon 10/31 Uniform and exponential distributions Chapter 5 #1, 5, 8, 39, 40a-c
(hint for 39 and 40c, read section 5.6)
(Due 11/4)
Read 5.2, 5.5
Wed 11/2 Normal and gamma distributions Read 5.4, p. 356–359
Self-study 5.6, 5.7
Fri 11/4 Normal distribution and MGFs Chapter 5 #21, 24, 30 and Chapter 6 #16, 18 (Due 11/8) Watch Intro to moments and review 6.1-6.3
Read 6.4-6.5
9 Mon 11/7 MGFs Chapter 6 #15, 19, 24 (due 11/14 at the beginning of class) 6.4, 6.5
Wed 11/9 MGFs and joint distributions 6.6, 7.1
Fri 11/11 Joint distributions Chapter 7 #1, 5, 10, 16, 17, 33, 34 (due 11/16 by 4 pm) 7.1
10 Mon 11/14 2D LOTUS, covariance, correlation 7.2, 7.3
Wed 11/16 LLN and CLT Watch statistical inequalities and read 10.1
Read 10.2 and 10.3 after class
Fri 11/18 No Class - Reading Period
Finals Tues 11/22 Final Exam @ 3 p.m.
(Practice Exam)