Math 421  Probability Theory


Fall 2019

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Course Syllabus
Tentative Homework Assignments

DATE ASSIGNMENT
08/27
Probability Properties and Set Theory Basics
Read the proofs of Probability Properties
Section 1.1, p. 10:  #1-11(odd)
08/29
Permutations and Combinations
Section 1.2, p. 18:  #1-9(odd), 17 and 1.2 Exam P Study Problems #2, 3
09/03
Section 1.3 Examples
Section 1.3, p. 27:  #1, 3, 5, 6, 7, 13, 15 and 1.3 Exam P Study Problems #1, 2, 3
Due Thursday 9/05:  Sections 1.1 & 1.2 (including assigned Exam P Problems)
09/05
Section 1.4, p. 33:  #3-13(odd), 14, 15, 19
Bayes' Theorem Example 1
09/10
Bayes' Theorem
Section 1.5, p. 38:  #1, 4[Ans:  $\ds 0.179$], 5, 6[Ans: $0.659, 0.264, 0.077$], 9, 11, 15(oops typo)
Quiz over Sections 1.3-1.4 on Thursday
9/12
Quiz 1  Solutions
Section 2.1, p. 46:  #1, 2, 5
09/17
Section 2.1, p. 46:  #(1, 2, 5), 3, 7, 10, 11
2.1 Exam P Study Problems
Section 2.2, p. 52:  #1, 4, 5, 7, 9, 11
Due Thursday 9/19:  Sections 1.5
09/19
Section 2.3, p. 61:  #1(a,c,d), 2(a), 3, 5, 7, 9
09/24
Section 2.3, p. 61:  #11, 17, 19, 13, 15
Due Thursday 9/27:  Sections 2.1-2.2
09/26
Section 2.4, p. 69:  #1, 5, 7(a,c), 8, 9, 13, 14, 20
Career Exploration Assignment
10/01
Review for Exam 1
10/03
Exam 1   Solutions
10/08
Hypergeometric and Negative Binomial Distributions (and Geom. Dist. Revisited)
Section 2.5, p. 75:  #3, 5, 9;
Section 2.6, p. 80:  #1, 3, 4, 9
10/10
The Poisson Distribution
Section 2.7, p. 86:  #1, 3, 4, 5, 7, 9, 11, 12, 13
10/14
Fall Break - No Classes
10/15
Section 3.1, p. 99:  #1, 3, 5, 7, 9, 11, 19
Due Thursday 10/17:  Sections 2.5, 2.6, and 2.7
10/17
Exponential Distribution Examples
Section 3.2, p. 109:  #1, 2, 3, 6
10/22
Gamma Distribution
Section 3.2, p. 109: #7, 9, 10, 12, 13, 16, 17[Hint: Two-parter with binomial distribution], 19[Set up the integrals for E(Profit) and explain how you would solve it -- but do not actually solve it.]
10/24
Section 3.3, p. 117:  #1, 3, 5, 6, 7, 10, 11, 14
10/29
Campus Close -- Class Cancelled
10/31
Section 3.4, p. 125:  #7, 9, 11, 13, 16, 17
Discussed Survival Function and Mortality Rate
Take-Home Quiz Next Week
Exam 2 postponed (date tbd)
11/05
Section 4.1, p. 136:  #3, 7, 9
Section 4.4, p. 160:  #2, 3, 5, 7, 9
Take-Home Quiz 2  Solutions
11/07
Least Squares Regression Line
Section 4.2, p. 144: #1, 3, 9, 10,11
11/12
Review for Exam 2
11/14
Exam 2  Solutions
11/19
Section 4,3, p. 152:  #1, 4, 6, 7
Section 4.4, p. 160:  #15, 18, 19, 21
11/21
Section  5.1, p. 177:  #3, 7
4.4 Exam P Study Problems, Part 1 and 2
11/26
Several Independent Random Variables 
Section 5.3, p. 186: #1, 3, 7, 10, 13

Thanksgiving Break!
12/03
Random Sample Distribution and The Central Limit Theorem
Section 5.5, p. 1, 2, 3, 7, 8
Section 5.6, p. 1, 3, 7, 13, 14
Take-Home Quiz 3:  Turn in Section 5.1: #3, 7 and Section 5.3:  #1, 3, 7, 10, 13 by Thursday 12/5 at 3pm


Old Assignments/Quizzes/Exams Fall 2013


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