STAT203 PROBABILITY I
| Course Code: | 2460203 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (3.00 - 2.00) |
| ECTS Credit: | 6.0 |
| Department: | Statistics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Prof.Dr. ZEYNEP IŞIL KALAYLIOĞLU AKYILDIZ |
| Offered Semester: | Fall Semesters. |
Course Objectives
The goal of this course is to introduce students to the basic probability theory by describing the sample space, events, basic combinatorial probability, conditional probability, Bayes’ theorem, independence, random variables, distributions and the expectation.
Course Content
Sample space, events, basic combinatorial probability, conditional probability, Bayes theorem, independence, random variables, distributions, expectation.
Course Learning Outcomes
By the end of this course, students should be able to understand and apply fundamental probability concepts, including conditional probability, independence, and Bayes’ theorem. They will work with discrete and continuous random variables, calculate expectations and analyze joint distributions. Students will use combinatorial methods to solve probability problems, and model real-world scenarios using appropriate probability distributions. They will also develop the ability to clearly communicate probabilistic reasoning and interpret results in context.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Applying the knowledge of statistics, mathematics and computer to statistical problems and developing analytical solutions. | ✔ | |||
| 2 | Defining, modeling and solving real life problems that involve uncertainty, and interpreting results. | ✔ | |||
| 3 | To decide on the data collection technique, and apply it through experiment, observation, questionnaire or simulation. | ✔ | |||
| 4 | Analysing small and big volumes of data and interpreting results. | ✔ | |||
| 5 | Utilizing up-to-date techniques, computer hardware and software required for statistical applications; developing software programs and numerical solutions for specific problems when necessary. | ✔ | |||
| 6 | Taking part in intradisciplinary and interdisciplinary teamwork, using time efficiently, taking leadership responsibilities and being entrepreneurial. | ✔ | |||
| 7 | Taking responsibility in individual work and offering authentic solutions. | ✔ | |||
| 8 | Following contemporary developments and publications in statistical science, conducting research, being open to novelty and thinking critically. | ✔ | |||
| 9 | Efficiently communicating in Turkish and English to define and analyze statistical problems and to interpret the results. | ✔ | |||
| 10 | Having a professional and ethical sense of responsibility. | ✔ | |||
| 11 | Developing computational solutions to statistical problems that cannot be solved analytically. | ✔ | |||
| 12 | Having theoretical background and developing new theories in statistics, building relations between theoretical and practical knowledge. | ✔ | |||
| 13 | Serving the society with the expertise in the field. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution