Welcome to Math 309 - Mathematical Statistics at Albion College. This site has all the class information that you need to be successful. Here you will find the class schedule; class policies; homework, quiz, and exam details; and various opportunities for help & support. In addition, student rights, access, accomodation, and related information can be found here.
Instructor Information | Professor Darren E. Mason, Ph.D; Palenske Hall 224; dmason@albion.edu. |
Course Description | A mathematical study of probability distributions, random sampling, and topics selected from statistical theory: estimation, hypothesis testing and regression. |
Prerequisites | Math 245 - Multivariate Calculus |
Class Location, Time, and Modality | Palenske 225; MWF: 1:00PM - 2:05PM; Class is in person. |
Student Hours | MWF: 1500 - 1600; TR: 1200 - 1300; Palenske 224. See Student Hours for more information. |
Text | Probability and Statistics for Engineers and Scientists by Walpole, Myers, Myers, & Ye, Pearson Education, 9th Edition, ISBN: 9780136860969, 2021. Be sure to choose an option that includes access to both the book and to MyLab! |
Asking Questions | If you have questions during class or student hours, I will answer them at that time. If you have questions at other times, you can email them to me. I promise to respond within 24 hours, either by email or in person. DO NOT expect a response after 5pm on any given day as I may be busy with my family. However, I will do my best to be as fast as possible. |
AI Use: This course requires you to complete various assignments that assess your understanding and application of the course content. You are expected to do your own work and cite any sources you use properly. You are not allowed to use any artificial intelligence (AI) tools, such as chatbots, text generators, paraphrasers, summarizers, or solvers, to complete any part of your assignments. Any attempt to use these tools will be considered academic misconduct and will be dealt with according to the college’s academic integrity policy. Students are expected to complete all work independently and without the assistance of AI-generated content. If you have any questions about what constitutes acceptable use of AI tools, please consult with the instructor before submitting your work.
Homework: Homework problems are assigned in the schedule portion of this website. Most homework will consist of using the online homework system, with the remainder consisting of computation problems that can be solved using Python, R, or Mathematica. Homework is worth 25% of your grade. See the homework section for more detail.
Quizzes: There will be five quizzes during the semester and only the top four quiz scores will count. Therefore, each quiz is worth 5% of your final grade for the course so that quizzes account for 20% of your final grade. If you miss a quiz for illness or any other reason, that will have to be the quiz that doesn't count (so don't waste a quiz by skipping class). All quizzes are closed book and closed notes. An authorized calculator is allowed. More information is available in the quiz section of the website.
Examinations: There will be two exams during the semester. Your lowest scoring exam is worth 10% of your final grade and the highest scoring exam is worth 20%. Therefore, both exams are worth 30% of your final grade for the course. Each examination is closed book and closed notes. However, you can use an authorized calculator. More information is available in the exam section of the website.
Final Exam: The final examination for this class will be at 03:00PM - 05:00PM on Tuesday, December 10, 2024. The test is cumulative and accounts for 25% of your final grade.
Evaluation | Attendance | Homework | Quizzes | Exams | Final Exam |
Weight | 5% | 20% | 20% | 30% | 25% |
Using the above table as a guide, here are step-by-step instructions on how to compute a "ball-park" estimate of your grade. First, let your average percentage score be A for attendance, H for your homework, Q your weighted quiz score, S your weighted exam score, and F the score on your final project, with each corresponding to a number between 0 and 1. Your total raw score R in the class is then determined by the equation R = 0.05A + 0.20H + 0.20Q + 0.30S + 0.25F. The maximum possible value for R is 1.0; the minimum possible value for R is 0.0. Then, your grade in the class will be calculated according to the following rubric.
If R ≥ | 0.90 | 0.85 | 0.80 | 0.75 | 0.70 | 0.65 | 0.60 |
Your grade is ≥ | 4.0 | 3.5 | 3.0 | 2.5 | 2.0 | 1.5 | 1.0 |
Important Dates:
Event | Date |
Last Day to Drop/Add | Wednesday, September 04 |
Last Day to Withdraw (W) | Monday, November 04 |
Last Day to Register for CR/NC option | Friday, December 06 |
Reporting Discriminatory Harassment: Albion College seeks to create a welcoming environment in which all students can learn, but we recognize that harassment may still occur. If a student experiences harassment or discriminatory treatment, there are several ways they can report it. For details, please use this reporting form.
Bias Reporting: In line with our commitment to fostering a culture of belonging on campus, we have created a bias reporting system for use by all members of our community. This tool allows students, faculty, and staff to report individual incidents of bias on or off campus and serves as a mechanism to help us address systemic issues of bias more broadly.
Title IX Office and Resources for Survivors of Sex-Based-Discrimination and Harassment: Albion College is committed to providing an educational environment where we are all able to learn, teach, and work freely and where the dignity, safety, and self-respect of all members of our community are protected. Sex-based discrimination, Sex-based harassment, Sexual assault, domestic violence, dating violence, and stalking are incompatible with this mission and will not be tolerated at Albion College.
On-campus confidential resources for victims/survivors of sexual assault include Lisa Winchell-Caldwell, Director of the Center for Gender Equity/Victim Advocate (517-629-0613) and Counseling Services (517-629-0236). More information can be found here.
Beyond campus, Sexual Assault Services of Calhoun County, Bronson Health (888-383-2192) provides 24/7 resources for survivors. For additional information about resources on and off campus, visit here.
If you have been the victim of sex-based discrimination, sex-based harassment, domestic violence, dating violence, stalking, or sexual assault, please contact the College’s Title IX Coordinator, Kelly Finn (titleix@albion.edu).
Cutler Center Information: The Cutler Center for Student Success is located in the Stockwell Library. The Cutler Center provides a number of services to support student success and serves as a one-stop hub connecting students to resources across campus. Through the Cutler Center, students access peer tutoring and writing consulting, accessibility services and accommodations, the TRIO SSS program and other services. To connect with the Cutler Center, please email us at cutler@albion.edu or stop by to be connected to the resources you need to be successful this term.
Accessibility Services: It is the policy of Albion College to accommodate students with disabilities and qualifying diagnosed conditions in accordance with federal and state laws. Any student who feels that they may need an accommodation based on the impact of a learning, psychiatric, physical, or chronic health diagnosis, should contact Accessibility Services Director, Elizabeth Rudolph (erudolph@albion.edu), to meet and develop a plan for reasonable accommodation(s) based on supporting documentation.
If you have completed this process and requested accommodations for this semester, plan to meet with Elizabeth as early as possible to discuss a plan for implementing these modifications in this class. It is best to schedule these meetings at least one week prior to their implementation.
Accessibility Services is housed in the Cutler Center on the first floor of the Stockwell Library and is open Monday-Friday, 8:00am-5:00pm. Elizabeth Rudolph, the Director for Accessibility Services can be reached at 517-629-0628 or email erudolph@albion.edu for more information.
This is a tentative schedule of what we will be covering in Math 351H this semester. In the case of unforeseen delays or modifications to our daily life, its subject to change.
Week | Sections Covered |
---|---|
08/26 - 08/30 | Introduction; Course Overview; Chapter 1; Sample Spaces, Events, Counting Sample Points |
09/02 | Labor Day - No Classes |
09/03 - 09/06 | Probability of an Event; Additive Rules; Conditional Probability; Independence, Multiplicative Rules; Bayes' Rule |
09/09 - 09/13 | Random Variables; Discrete, Continuous, and Joint Probability Distributions + Quiz #1 |
09/16 - 09/20 | Mean, Variance, and Covariance for Random Variables |
09/23 - 09/27 | Discrete Probability Distributions: Discrete, Binomial, Hypergeometric + Quiz #2 |
09/30 - 10/04 | Multinomial; Negative Binomial; Poisson Processes; Continuous Probability Distributions: Uniform. |
10/07 - 10/11 | Continuous Probability Distributions (concluded): Normal, Gamma + Exam #1 |
10/14 - 10/15 | Fall Break - No Classes |
10/16 - 10/18 | Sampling Distributions and the Central Limit Theorem |
10/21 - 10/25 | Sampling Distributions and the Central Limit Theorem + Quiz #3 |
10/28 - 11/01 | Statistical Inference and Estimation Methods |
11/04 - 11/08 | Statistical Inference and Estimation Methods (concluded) + Quiz #4 |
11/11 - 11/15 | Hypothesis Testing |
11/18 - 11/22 | Hypothesis Testing (concluded) + Exam #2 |
11/25 - 11/26 | Linear Regression and Correlation |
11/27 - 11/29 | Thanksgiving Break |
12/02 - 12/06 | Quiz #5 + Linear Regression and Correlation (concluded) |
12/10 | Tuesday; Final Examination; 1500 - 1700 |
The online homework system MyStatLab is where you can
To register for MyStatLab (MSL) you need:
Homework Hints/Guidelines
Getting Technical Help
There are five quizes during the semester, listed in the below table along with practice quizzes and solutions. With the exception of the last quiz - which takes place at the beginning of class on MONDAY, all quizzes take place at the beginning of class on FRIDAY.
Quiz | Date | Topics | Practice Quiz | Solution |
---|---|---|---|---|
1 | 09/13 | Chapters 1 & 2 | PQ1 / PQ1S | Q1 Solution |
2 | 09/27 | Chapters 3 & 4 | PQ2 / PQ2S | Q2 Solution |
3 | 10/25 | Chapter 5 | PQ3 / PQ3S | Q3 Solution |
4 | 11/08 | Chapters 6 & 8 | PQ4 / PQ4S | Q4 Solution |
5 | 12/02 | Chapter 10 | PQ5 / PQ5S | Q5 Solution |
Grading Note: The semeseter quizzes count for 20% of your final grade, with your lowest score being dropped. Hence, each counted quiz is worth approximately 5% of your final grade.
The two semester exams for the semester, listed in the below table.
Exam | Date | Topics | Practice Exam / Solution | Solution |
---|---|---|---|---|
1 | Friday, October 11 | Chapters 1-4 | PE1 / PE1S | E1 Solution |
2 | Friday, November 22 | Chapters 5 - 9 | PE2 / PE2S | E2 Solution |
Final | Tuesday December 10 1500 - 1700 | All Covered Material | PFE / PFES |
Grading Note: The semeseter exams count for 30% of your final grade, with your highest score counting for 20% and your lowest score counting for 10%. More details will be available as the date of each exam appoaches.
Student hours is time and space that has been specifically allocated for me (Dr. Mason) to help you (the student) with questions, life, class, or just to talk. You are STRONGLY ENCOURAGED to hang out with me as often as you can. Research demonstrates that their is a solid correlation between good grades and being engaged with class. Student hours is one way to reinforce that connection.
GUIDE TO SUCCESSFUL STUDENT HOURS:
Your best option for getting help is talking to Dr. Mason or to your fellow students. There is no substitute for either a 1-on-1 conversation with your professor or a problem-solving session with your fellow students/colleagues. Mathematics and problem solving, especially in the industrial world, is a collaborative process where ideas are shared. As such, you are strongly encouraged to work together. However, it is imperative that when you write out solutions to problems in your homework, your words are your own and not a copy of someone else.
It is very risky to rely on websites, videos, AI, Chegg, YouTube, and other contemporary sources to replace your learning or for a "quick-fix" to complete an assignment. Such passive delivery sources can be misleading in that they can provide you with a false sense of security - convincing you that you fully understand the material. Remember that 70% of your grade is basd on work you do by yourself in a proctored environment. True understanding is essential to high performance on quizzes and tess.