STAT 7010 Kennesaw State University DeMaio
STAT 7010: Mathematical Statistics I
3 Class Hours 0 Laboratory Hours 3 Credit Hours
Prerequisite: STAT 8120 and STAT 8210
Fundamental concepts of probability, random variables and their distributions; review
of sampling distributions; theory and methods of point estimation and hypothesis testing,
interval estimation, nonparametric tests, introduction to linear models.
Textbook: Modern Mathematical Statistics with Applications, Second Edition Devore & Berk
In fall 2020, STAT 7010 will be taught remote in a synchronous format. We will meet at the regularly scheduled time via MS Teams for lecture and problem sessions. I will record all session via MS Teams for review purposes. Tests will take home and on the honor system.
Course Materials
Chapter One material is assumed prior to entry to STAT 7010. Review as needed.
Chapter Two: Probability
Section 2.1 Notes
Homework 2.1: 1-4, 6, 10, 11
Section 2.2 Notes
Homework 2.2: 14, 15, 16, 18, 22, 27
Section 2.3 Notes
Homework 2.3: 31-33, 35, 36, 38, 41, 43, 44
Section 2.4 and 2.5 Notes
Homework 2.4: 45, 46, 50, 53, 55, 56, 58, 60, 62
Homework 2.5: 67, 69-73, 75, 77
Chapter Three: Discrete Random Variables
Section 3.1, 3.2 and 3.3 Notes
Homework 3.1: 1, 2, 4-7, 9, 10
Homework 3.2: 11a, c, d, 12-18, 22, 23, 25 (you may revisit friends) a, b, 26
Section 3.4 Expected Value and Variance of a Discrete Random Variable
Homework 3.4: 28 a, b, c, 29, 31a, b, c, 32, 34, 35, 36, 37, 40
Section 3.5 Moments and Moment Generating Functions
Homework 3.5: 44-46, 49, 51, 52
Section 3.6 The Binomial Probability Distribution
Homework 3.6: Compute all probabilities with your preferred technology based method
58-62, 66, 68a, 70, 72, 75
Section 3.7 The Hypergeometric and Negative Binomial Distributions
Homework 3.7: Compute all probabilities with your preferred technology based method
80-83, 88-90
Section 3.8 The Poisson Distribution
Homework 3.8: Compute all probabilities with your preferred technology based method
93-97
Interlude on the Different Sizes of Infinity
Strange but True: Infinity Comes in Different Sizes
Cardinality
Integers vs. Reals: Cantor's diagonal argument
https://www.slideshare.net/mattspaul/matthew-infinitypresentation
Chapter Four: Continuous Random Variables
Section 4.1, 4.2 Probability Density Functions and Cumulative Distribution Functions
Homework 4.1: 1, 2, 3b,c,d, 5, 6,b,c,d,e, 11,12 a,b,c,d, 13
Section 4.3 Expected Value and Moment Generating Functions
Homework: 18, 19, 20, 29, 32, 33
Section 4.4 The Normal Distribution
Homework: 42, 43, 44, 47, 61, 63, 64
Chapter Five: Joint Probability Distributions
Section 5.1,5.2 Jointly Distributed Random Variables
Homework: 1-4, 7, 9a,b,d,e 10, a,b, 17 a,b (first with R=1 for the unit circle and
then general R).
Section 5.3 Expected Value, Covariance and Correlation
Homework: 18, 19, 22, 25-27, 29
Section 5.4 Conditional Probability
Homework: 36, 40
Unordered Selections with Repetition
The Principle of Inclusion/Exclusion
