The Probability Lifesaver (SJMiller)

Homepage for The Probability Lifesaver: All the tools you need to understand chance

Author: Steven J. Miller: sjm1@williams.edu, Steven.Miller.MC.96@aya.yale.edu

The purpose of this page is to provide additional resources for the book, in particular, supplemental readings, homework problems, course pages and videos of lectures. The Princeton University Press page is located here: http://press.princeton.edu/titles/11041.html. Instructors interested in exam material can contact me at the email addresses above.

Typos / Corrections (note: page 1 in the textbook is page 13 in my pdf; page numbers below from book)
- Page xxiii: Special thanks to Bernhard Elsner, David Johnston, Stephen Daniel Malina and Lara Shore-Sheppard for pointing out some typos (file chap_welcome.tex)
- Page 10: Figure 1.2 is wrong (page 21 of pdf: file BirthdayPlot.eps): correct image
- Page 227: Figure 7.1 left image shown for CDF wrong (page 250 of pdf: file fig_plotcdfthreedie.eps): correct image
- Page 478: Section 17.3.1: Should be: Note that if \(k \le 1\) then the probability is at most 1 (it has at least by mistake).
- Large collection of typos (thanks to Bernhard Elsner): list of typos.
General Resources
- Comments on each chapter and section: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/problifesaver_comments.pdf
Supplemental Chapters and Material
- Calculus Review Problems and Solutions: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/supplementalchap_calcreview.pdf
  - Calc I/II Review: Part I: http://www.youtube.com/watch?v=xYzQL0TUtBA
  - Calc I/II Review: Part II: http://www.youtube.com/watch?v=Ps2SBo_WjoE
- Change of Variable Theorem: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/supplementalchap_changeofvar.pdf
- Matching Coefficients and the Theory of Runs: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/supplementalchap_matchingcoeffsandruns.pdf
- Method of Least Squares: https://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/MethodLeastSquares.pdf
- Order Statistics and the Median Theorem: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/supplementalchap_mediantheoremandorderstatistics.pdf
- Complex Analysis and the Central Limit Theorem: http://web.williams.edu/Mathematics/sjmiller/public_html/probabilitylifesaver/supplementalchap_complextoCLT.pdf
- Introduction to Programming:
  - Mathematica Tutorial Lecture by Milller: http://www.youtube.com/watch?v=g1oj7CIqGM8
  - LaTeX Tutorial Lecture by Miller: http://www.youtube.com/watch?v=dKUtJpG4Rt0
  - Webpage with lots of useful templates / files for Mathematica and LaTeX: http://web.williams.edu/Mathematics/sjmiller/public_html/math/handouts/latex.htm
Course Homepages and Lecture Videos:
- Fall 2021 (latest version): https://web.williams.edu/Mathematics/sjmiller/public_html/341Fa21/
  - Videos: https://web.williams.edu/Mathematics/sjmiller/public_html/341Fa21/articlesvideos.htm
  - Additional Comments: https://web.williams.edu/Mathematics/sjmiller/public_html/341Fa21/addcomments.htm
  - Takeaways (all classes): https://web.williams.edu/Mathematics/sjmiller/public_html/takeaways/TakeAwaysAllClasses.pdf
- Fall 2016: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa16/
  - Videos: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa16/articlesvideos.htm
  - Additional Comments: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa16/addcomments.htm
- Fall 2015: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa15/
  - Videos: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa15/articlesvideos.htm
  - Additional Comments: http://web.williams.edu/Mathematics/sjmiller/public_html/341Fa15/addcomments.htm
- Spring 2015: http://web.williams.edu/Mathematics/sjmiller/public_html/341Sp15/
  - Videos: http://web.williams.edu/Mathematics/sjmiller/public_html/341Sp15/articlesvideos.htm
  - Additional Comments: http://web.williams.edu/Mathematics/sjmiller/public_html/341Sp15/addcomments.htm
TBD
- TBD

Questions? Contact Steven J Miller at sjm1@williams.edu or Steven.Miller.MC.96@aya.yale.edu.