Assignment 5 – MT220-01: Introduction to Probability and Statistics

This repository contains the complete files and scripts for Assignment 5 of the MT220-01 course at IES Abroad (Spring 2025), submitted by Alejandro De La Torre. The assignment explores statistical estimation techniques including confidence intervals, analytical probability evaluation, and exponential distribution modeling.

📁 Repository Structure

assignment_5_ALDT/
├── report/
│   ├── assignment_5_writeup.tex          # LaTeX write-up file for submission
│   ├── figures/                          # Plots and figures generated in R
│   ├── tables/                           # Tables generated from analysis
│   └── Intro_Stats_Prob.pdf              # Course textbook reference
├── assignment_5.R                        # R script solving Problems 1–5
├── weight-height.xls                     # Dataset used for Problem 1
└── README.md                             # Repository overview and instructions

🧠 Assignment Topics

• Confidence intervals assuming known variance
• Normal distribution assumptions and inference
• Probability calculation from cumulative distributions
• Analytical determination of required sample size
• Exponential distribution properties (pdf, mean, variance)

🔧 How to Use

To reproduce the full analysis:

1. Open assignment_5.R in RStudio or VS Code.
2. Set the working directory to the root folder (assignment_5_ALDT/).
3. Run the script top-down to compute and print answers for Problems 1 through 5.
4. Visualizations and supporting output are saved into report/figures/ and report/tables/.

To compile the written report:

1. Open report/assignment_5_writeup.tex in Overleaf or a local LaTeX editor.
2. Incorporate console output and plots from the R script.
3. Compile the document to a final PDF for submission.

📌 Author

• Alejandro De La Torre
• MT220-01, Spring 2025
• IES Abroad Barcelona

📝 License

This work is intended for academic coursework. Not licensed for commercial reuse.