MATH 2311 - Introduction to Probability and Statistics - University of Houston

# MATH 2311 - Introduction to Probability and Statistics

***This is a course guideline.  Students should contact instructor for the updated information on current course syllabus, textbooks, and course content***

Text: Introduction to Probability and Statistics by the University of Houston Department of Mathematics. Available in electronic form (PDF) through CASA for all enrolled students via an Access Code.  *Note: If you misplace/lose your code, you will need to purchase another. There is no exception to this.

Delivery format: face-to-face lecture or online
Prerequisite: A satisfactory score on a placement examination.

Course Description: Probability, correct probabilistic reasoning, distributions, graphical and descriptive methods, sampling estimation, hypotheses and statistical inference.

*Note: May not apply to course or GPA requirements for a major or minor in the College of Natural Sciences and Mathematics. Students with prior credit for MATH 3338 or MATH 3339 may not enroll in or receive credit for MATH 2311. TCCNS Equivalent: MATH 1342.

Core Category: Mathematics (20) and Math/Reasoning (90).

Note: Additional important information is contained at your instructor’s personal webpage. You are responsible for knowing all of this information.

Required Supplies: Students are required to purchase an access code at the Book Store to access the learning materials. Students are required to have a calculator. A graphing calculator is not necessary.

Upon successful completion of this course, students will be familiar with basic rules of probability and will be able to use them in modeling uncertainty in obtaining and recording data. They will be able to utilize graphical and numerical summaries of data in understanding data generating processes. They will understand the logic of statistical inference and will be able to apply common inferential procedures. Students will be exposed to the computational aspects of statistics through the use of calculators, spreadsheet programs or special purpose data analysis packages.

Subject to modifications by individual instructors, the semester grade will be calculated by the following formula:

- Daily Quizzes (Poppers): 10%

- Homework: 10%

- Online Quizzes: 10%

- Tests 1 – 3: 45% (15% each)

- Final Exam: 25%

## Course Content:

The information contained in this class outline is an abbreviated description of the course. Additional important information is contained on your instructor’s  personal webpage. You are responsible for knowing all of this information.

Exploring Univariate Data

1.1 Types of data

1.2 Mean and Median

1.3 Standard Deviation and Variance

1.4 Range, IQR and Finding Outliers

1.5 Graphs and Describing Distributions

Introduction to Probability

2.1 Counting Techniques, Combinations and Permutations

2.2 Sets and Venn Diagrams

2.3 Basic Probability Models

2.4 General Probability Rules

Discrete Distributions

3.1 Random Variables

3.2 Binomial Distributions

3.3 Geometric Distributions

Continuous Distributions

4.1 Density Curves

4.2 The Normal Distribution

4.3 Standard Normal Calculations

4.4 Sampling Distribution of x and p

Bivariate Data

5.1 Scatter Plots

5.2 Correlation

5.3 The Least Squares Regression Line

5.4 Residuals

5.5 Non-Linear Models

5.6 Relations in Categorical Data

Samples and Experiments

6.1 Sampling

6.2 Designing Experiments

6.3 Simulating Experiments

Estimation

7.1 Margins of Error and Estimates

7.2 Confidence Interval for a Proportion

7.3 Confidence Interval for the Difference of Two Proportions

7.4 Confidence Interval for a Mean

7.5 Confidence Interval for the Difference of Two Means

Tests of Significance

8.1 Inference for the Mean of a Population

8.2 Sample Proportions

8.3 Inference for a Population Proportion

8.4 Comparing Two Means

8.5 Comparing Two Proportions

8.6 Goodness of Fit Test

8.7 Two-way Tables

Inference for Regression (Optional)

9.1 Confidence Intervals

9.2 Test for Slope of Regression Lines

CSD Accommodations:

Accommodation Forms: Students seeking academic adjustments/auxiliary aids must, in a timely manner (usually at the beginning of the semester), provide their instructor with a current Student Accommodation Form (SAF) (paper copy or online version, as appropriate) from the CSD office before an approved accommodation can be implemented.

Details of this policy, and the corresponding responsibilities of the student are outlined in The Student Academic Adjustments/Auxiliary Aids Policy (01.D.09) document under [STEP 4: Student Submission (5.4.1 & 5.4.2), Page 6]. For more information please visit the Center for Students with Disabilities Student Resources page.

Additionally, if a student is requesting a (CSD approved) testing accommodation, then the student will also complete a Request for Individualized Testing Accommodations (RITA) paper form to arrange for tests to be administered at the CSD office. CSD suggests that the student meet with their instructor during office hours and/or make an appointment to complete the RITA form to ensure confidentiality.

*Note: RITA forms must be completed at least 48 hours in advance of the original test date. Please consult your counselor ahead of time to ensure that your tests are scheduled in a timely manner. Please keep in mind that if you run over the agreed upon time limit for your exam, you will be penalized in proportion to the amount of extra time taken.

UH CAPS

Counseling and Psychological Services (CAPS) can help students who are having difficulties managing stress, adjusting to college, or feeling sad and hopeless. You can reach (CAPS) by calling 713-743-5454 during and after business hours for routine appointments or if you or someone you know is in crisis. No appointment is necessary for the "Let's Talk" program, a drop-in consultation service at convenient locations and hours around campus.