Week 4

Random variables and probability distributions
Published

October 16, 2023

Modified

October 16, 2023

Day06

  • Random variables: Section 3.1
  • Binomial distribution: Section 3.2

Slides

Class discussion

Class discussion Google doc link

  • 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.
  • Example 3.11 on pg 6 of slides
  • Example 3.17 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

Day07

  • Normal distribution: Section 3.3
  • Poisson distribution: Section 3.4

Slides

  • html
  • pdf
  • Slides with notes
  • Calculating probabilities in R code file (same file as listed above for Day 6): qmd, html

Class discussion

Class discussion Google doc link

  • Example 3.3 parts (1) and (3) on pg 7 of slides
  • Example 3.8 parts (2) and (3) on pg 11 of slides
  • HW problems
    • 3.28, 3.32

Homework

  • HW 3 due on Sat, 10/21
    • Covers Days 6-7

Why is {.unnumbered} included at the end of some of the section headers on the HW?

  • I added the option for the sections to be numbered in the YAML (number-sections: true) so that the R exercises at the end of the file are numbered.
  • However, the book exercises already have their own numbering, and so I added {.unnumbered} to the section headers of the book exercises so that they are not numbered twice.

Recordings

  • Pre-recorded lessons are on Echo Cloud (aka echo 360 or echo video).
    • These can be accessed in Sakai by navigating to the BSTA 511/611 page and clicking on the Echo Cloud option in the left-side menu.
    • This will redirect you to an echo video page with a list of pre-recorded videos.
  • In-class recording links are on Sakai. Navigate to Course Materials -> Schedule with links to in-class recordings. Note that the password to the recordings is at the top of the page.