Probability and Random Processes

📁 Repository Structure

Folder / File	Description
A1/	Assignment 1 – Dot diagrams, sample means, stem-leaf plots
A2/	Assignment 2 – Probability theory, set operations, card problem simulations
A3/	Assignment 3 – CDF/PDF exploration, Poisson approx, error analysis
A4/	Assignment 4 – Joint distributions, marginalization, transformations, and Gaussian modeling
A#.pdf	PDF of written solutions for each assignment (A1.pdf to A4.pdf)
*.m	MATLAB scripts used for simulation, plotting, and statistical analysis

📁 Topics Covered

• Random variable simulation (discrete & continuous)
• Visualization: histograms, dot plots, stem-leaf
• Theoretical vs empirical probability
• Joint distributions and independence
• Transformations and expectations
• Central Limit Theorem, Chebyshev bounds
• Gaussian & Rayleigh distribution modeling