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    "title: \"Biostat 216 Homework 1\"\n",
    "subtitle: \"Due Oct 6 @ 11:59pm\"\n",
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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. \n",
    "\n",
    "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).\n",
    "\n",
    "Prove the formula \n",
    "$$\n",
    "\\operatorname{avg}(\\mathbf{x})^2 + \\operatorname{std}(\\mathbf{x})^2 = \\operatorname{rms}(\\mathbf{x})^2\n",
    "$$\n",
    "using the vector notation and do BV 3.15."
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