Math 352: Probability and Statistics

Course Information

Term: Spring 2023

Instructor: Isaac Quintanilla Salinas


Office Location: BTE 2840

Office Hours:

OH Course Other R Programming
Day MW Thurs Fri
Location BTE 2840 Look for Group BTE 2810
Time 2-3 PM 2-3 PM 9 AM - 11 AM

Or by Zoom appointment:


Section Day Time Room
001 Mon/Wed 12:00 PM - 1:15 PM BT 1642
002 Tues/Thurs 12:00 PM - 1:15 PM BT 1642

Pre-Requisites: MATH 151

Course Description

Statistics is the science of reasoning from data. It is both an exciting intellectual discipline and a powerful scientific tool. Statistics is a mathematical science, in the sense that it makes use of mathematics extensively, but it is not a branch of mathematics.

The practice of statistics involves collecting data, analyzing data, and drawing inferences from data. The mathematical foundations of statistical inference lie in probability, the study of randomness and uncertainty. This course introduces you to fundamental ideas and methods of probability and statistics.

Learning Outcomes

  1. Understand and apply basic ideas and methods of probability, including conditional probability and random variables.
  2. Apply and interpret the results of a variety of statistical techniques, including both descriptive and inferential methods;
  3. Understand many of the fundamental ideas of statistics, such as variability, distribution, sampling, confidence, and significance;
  4. Use statistical software to conduct simulations and analyze data;
  5. Communicate your knowledge of probability and statistics effectively.

Required Software

For this course, we will use R, RMarkdown, and RStudio. Please download and install on your computer.

  • R is a free statistical software program that is available for download at:

  • RMarkdown is a scientific documentation system used to write reprodu RMarkdown that enhances your experience in scientific documentation. Quarto is freely available at:

  • RStudio provides free and open source tools for your data analysis in R:

  • INQS Tools is my personal R package that will contain templates to submit assignments for class: INQS Tools

Course Grading

Category Percentage
Homework 20%
R Labs 20%
In-Person Exam 1 15%
In-Person Exam 2 15%
Take-Home Exam 1 15%
Take-Home Exam 2 15%

At the end of the quarter, course grades will be assigned according to the following scale:

A+ 98 – 100 B+ 87 – <90 C+ 77 – <80 D+ 67 – <70
A 93 – <98 B 83 – <87 C 73 – <77 D 63 – <67 F < 60
A– 90 - <93 B- 80 – <83 C– 70 – <73 D– 60 – <63


Homework will be assigned on a regular basis and posted on and CANVAS. The homework is to help you practice the concepts learned in lecture and to help you study. You must turn in your own individual homework and show your understanding of the material. At the end of the semester, the two lowest homework grades will be dropped. Late work will be accepted, but with a 10 point penalty. The last day late work will be accepted is on 5/14/2022 at 11:59 PM.

R Labs

The objective of the labs are to develop both your statistical and programming skills. We will work on these labs in class. The lowest R Lab will be dropped.


There will be four exams this semester, two in-person exams and two take-home exams. While the exams are not considered cumulative, the material builds on each other. Developing a strong understanding of the material through out the course is important for your success. At the end of the semester, your lowest exam grade will be replaced by the median of all exam grades.

This course will operate under a zero-tolerance policy. Talking during the time of the exam, sharing materials, looking at another students’ exam, or not following directions given will be subject to the University’s academic integrity policy.

Extra Credit

There will be 4 extra credit opportunities worth a total of 10% of your overall grade. There are no make-ups for missed extra credit assignments!

Class Schedule

The following outline may be subject to change. Any changes will be announced in class.

Week Topic Assignments/Exams Reading
1/23-1/27 Intro to Course/Intro to R Handouts
1/30-2/3 Introduction to Probability HW #1 2.1 - 2.4
2/6-2/10 Discrete Random Variables HW #2 3.1 - 3.5
2/13-2/17 Discrete Random Variables Take-Home Exam #1 4.1 - 4.3, 4.5, 4.6
2/20-2/24 Continuous Random Variables HW #3 5.1 - 5.4
2/27-3/3 Continuous Random Variables HW #4 4.7, 5.5, 5.6, 6.1
3/6-3/10 Joint Distributions HW #5 5.1 - 5.4
3/13-3/17 Exam Review Exam #1
3/20-3/24 Spring Break
3/27-3/31 Sampling Statistics HW #6 6.3 - 6.4
4/3-4/7 Maximum Likelihood Estimation HW #7 8.1 - 8.2
4/10-4/14 Linear Regression HW #8 Handouts
4/17-4/21 Generalized Linear Models Take-Home Exam #2 Handouts
4/24-4/28 Standard Errors HW #9 Handouts
5/1-5/5 Hypothesis Testing HW #10 9.2 - 9.4
5/8-5/12 Model Building Handouts
5/15-5/19 Exam #2

University Policies

Academic Honesty:

Please conduct yourself with honesty and integrity. Do not submit others’ work as your own. For assignments and quizzes that allow you to work with a group, only put your name on what the group submits if you genuinely contributed to the work. Work completely independently on exams, using only the materials that are indicated as allowed. Failure to observe academic honesty results in substantial penalties that can include failing the course.


If you are a student with a disability requesting reasonable accommodations in this course, you need to contact Disability Accommodations and Support Services (DASS) located on the second floor of Arroyo Hall, via email or call 805-437-3331. All requests for reasonable accommodations require registration with DASS in advance of need: Faculty, students and DASS will work together regarding classroom accommodations. You are encouraged to discuss approved.

Emergency Procedure Notice to Students:

CSUCI is following guidelines and public orders from the California Department of Public Health and Ventura County Public Health for the COVID-19 pandemic as it pertains to CSUCI students, employees and visitors on the campus. Students are expected to adhere to all health and safety requirements as noted on the University’s Fall 2022 Semester website or they may be subject to removal from the classroom.


  1. If I Am Out: I will communicate via email and will hold classes asynchronously.
  2. If You Are Out: Contact me as soon as possible to talk about your options. Reasonable accommodations will be provided for a brief absence. With proper documentation, extended accommodations will be provided.