STAT 254: Probability and Statistics

Textbook

The textbook for this course is a set of course materials available via D2L.

Part 1, which covers Chapters 1 to 3, has been posted and is what you need to study for Test 1.

There are two versions: The one called "Stat254_Course_Materials_Part_1.pdf" contains the full text, exercises, and answers, while the one called "Stat254_Exercises_Part_1.pdf" contains the exercises and answers only.

The recommended exercises are posted to the Homework page.

Lecture Notes

Here are the lecture notes from Winter, 2019. They are a mixture of the lectures from Sections X01 and X02.

• Section 1.1
• Section 1.2
• Section 1.3/1.4
• Section 1.5
• Section 1.6
• Section 1.7
• Section 2.1/2.2
• Section 2.3
• Section 2.4
• Section 2.5
• Section 2.6
• We also completed the Contingency Table handout that you can find below.
• Section 2.7
• Section 3.1 to 3.4
• We are omitting Section 3.5
• Section 3.6
• We are omitting Section 3.7
• Section 3.8
• Section 3.9

• Test #1 is up to here.

• Section 4.1
• Section 4.2
• Section 4.3
• Section 4.4
• Section 4.5
• Section 5.1 – see also the handout below.
• Section 5.2 & 5.3
• We are omitting Section 5.4 due to the snow.
• Test 2 date change
• Section 6.1
• Section 6.2
• Section 6.3
• Section 6.4
• Decision Tree for Confidence Intervals
• Test #2 up to here.
• Section 7.1, 7.2, and 7.3
• Section 7.4
• Review for Test 2
• Section 7.5
• Omit Section 7.6
• Omit Section 7.7
• Section 7.8
• Section 7.9
• Section 7.10
• Section 7.11
• Section 8.1
• Section 8.2
• Decision Tree, Part 1
• Decision Tree, Part 2
• Review
• Review

A former student has kindly typeset the lecture questions from last year – please note that the numbering of sections has changed and the lectures from Chapters 6 and 7 may be different.

Lecture notes from Winter, 2018 can be found here.

Tables

• Standard Normal Table
• t-Distribution Table
• Chi-Squared Table

Handouts and Extra Materials

• Section 1.3: Pie Charts and Bar Charts
• Section 1.3: Quantitative Graphs
• Section 1.3: Histograms
• Section 2.6: Contingency Tables and Solutions
• Discrete Random Variables
• Section 3.6: Binomial Graphs
• Stat Trek's Binomial Calculator
• Section 5.1: Sampling Plans

Further Web Resources

• For a dubious example of the value of understanding probability, check out the Wired story on Hacking Las Vegas.

Classic statistics problems:

• Poker Hands:
  • Gilles' handout
• Monty Hall problem:
  • Simulator -- the thing I like about this simulation is that you can click on the "Multiple Games" button to run 100 games rather than one at a time
  • Nice, Concise Explanation/Proof
• Birthday problem:
  • Gilles' handout
  • Dr. Math's explanation