Probability, Statistics, and Linear Programming (PSLP) Lab is an educational facility designed to provide students with practical experience in three fundamental areas of applied mathematics: probability theory, statistical analysis, and linear programming. These labs are integral to engineering and science curricula, enabling students to apply theoretical concepts to real-world problems through computational tools and programming exercises.
Objectives of a PSLP Lab:
- Probability and Statistical Analysis:
- Understanding Random Variables: Students learn to define and manipulate random variables, exploring their distributions and expected values.
- Data Analysis: Techniques such as mean, median, mode, variance, and standard deviation are applied to datasets to summarize and interpret data characteristics.
- Hypothesis Testing: Students perform tests to make inferences about population parameters based on sample data, assessing the validity of assumptions.
- Regression Analysis: Implementing linear and multiple regression models to identify relationships between variables and predict outcomes.
- Linear Programming:
- Formulating Optimization Problems: Students learn to express real-world scenarios as linear programming problems, identifying objective functions and constraints.
- Solving Linear Programs: Techniques such as the Simplex Method are employed to find optimal solutions to linear programming problems.
- Duality and Sensitivity Analysis: Exploring the duality principle in linear programming and understanding how changes in parameters affect the optimal solution.
Typical Lab Activities:
- Computational Exercises: Using software tools like MATLAB to perform matrix operations, plot distributions, and solve optimization problems.
- Simulation Projects: Modeling probabilistic systems or processes to study behavior under uncertainty.
- Case Studies: Analyzing real-world data to apply statistical methods and linear programming techniques in practical contexts.
People
- Faculty Coordinator: Ms. Ritambhra Katoch
- Lab Technician: Mr. Ashish Kumar