Week 4

Random variables & binomial distribution and Exam 1

Overview of Week 4

Mon: Day 6

• Random variables: Section 3.1
• Binomial distribution: Section 3.2
• Day 6 Practice Problems
  • See new PP section below

Wed: Exam 1

• See the Exam 1 information section below for more information

Slides & Recordings

• Pre-recorded lessons are on Echo Video.

Day	Topic	Slides: html	Slides: pdf	Slides: web-page	Slides with notes	Recording Link	Duration	Code: qmd	Code: html
	Calculating probabilities in R
6	Random Variables (3.1.1-3.1.3)	Day 6: slides 1-6				Day 6 Part 1	24 min
	Linear combinations of RV’s (3.1.4)	Day 6: slides 7-10	same		same	Day 6 Part 2	14 min
	Binomial dist (3.2)	Day 6: slides 11-15	same		same	Day 6 Part 3	27 min

Practice Problems

Day 6

• Day 6 Practice Problems
  • From slides:
    • Example 3.11 on pg 6 of slides
    • Example 3.17 parts (1) - (3) on pg 10 of slides
      • Hint: If you are unsure how to define the random variable T, take a look at how we defined the random variable M in example 3.16 for the amount of money one gets from 3 rolls of a die.
    • Example 3.22 parts (1) and (2) on pg 14 of slides

Class discussion

During class you will be working in groups discussing the following:

Day06

• Practice Problems listed above
• Part (4) of Example 3.17 on pg 10 of slides
• From HW 3
  • Book exercises
    • 3.4, 3.8
  • Non-book exercise
    • NB 1
• If you want some R practice, try the following:
  • Example 3.3 on pg 2 of slides
    • Write R code to calculate the expected value by defining vectors in R with the relevant values and then doing the appropriate calculations with the vectors.
    • Hint: start with x <- 1:6.
  • Example 3.10 on pg 5 of slides
    • Write R code to calculate the variance and standard deviation by defining vectors in R with the relevant values and then doing the appropriate calculations with the vectors.

Homework

• HW 3 v2 covers Days 6 - 9 and is due on Sat, 11/1
• Make sure to check out the calculating probabilities in R code file: qmd, html
• Note: the answer to exercise 3.31(b) in the textbook (not assigned) is incorrect.
  • Check out this spreadsheet for more typos in book.

Exam 1 information

• Exam 1 will be on Wed, Oct. 22nd
• Samples of past exam questions and answers (on Sakai)
• Material will cover Days 1-5,
  • which is approximately Chapters 1 & 2 from the textbook.
• The exam will be in-class and handwritten. Bring a calculator.
• You may bring one page of notes on an 8.5” x 11” sheet of paper.
  • You may use both sides.
  • You may type your notes.
  • You may not use screenshots of the notes or textbook
  • You will be turning in the page of notes with the exam, so please add your name to the sheet.