---
title: Biostat 216 Homework 1
subtitle: 'Due Oct 6 @ 11:59pm'
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Submit a PDF (scanned/photographed from handwritten solutions, or converted from RMarkdown or Jupyter Notebook or Quarto) to Gradescope in BruinLearn. 

BV exercises: 1.7, 1.9, 1.13, 1.20, 3.3, 3.4, 3.5, and 3.22 (replace Palo Alto by Los Angeles).

Prove the formula 
$$
\operatorname{avg}(\mathbf{x})^2 + \operatorname{std}(\mathbf{x})^2 = \operatorname{rms}(\mathbf{x})^2
$$
using the vector notation and do BV 3.15.