This document contains solutions to the first homework assignment for Intermediate Statistics (36-705) at Carnegie Mellon University, dated September 1, 2016. It is intended for students enrolled in the course to check their work and understand the correct approaches to the assigned problems.
This assignment focuses on foundational probability concepts and cumulative distribution functions. It’s valuable for students seeking to confirm their understanding of set theory applications in probability, proving probability statements, and working with fair coin toss scenarios. It serves as a checkpoint early in the course to ensure students grasp core principles before more complex topics are introduced.
This document *does not* provide explanations of the underlying statistical concepts themselves – it assumes prior learning. It also doesn’t offer alternative solution methods or address common student errors. Students still need to understand the course material and be able to independently solve similar problems.
The full document includes complete solutions for four problems drawn from Wasserman’s “All of Statistics” textbook (Problems 1.3, 1.8, 1.13, and 2.1) and Problem 2.4. It provides detailed proofs and derivations for each problem. This preview does not include any of the mathematical derivations or solutions themselves.
