Week 1 - Probability Review

I took EC170/STAT141 recently and remember some stuff

1. Read through SW, and dig deeper into anything that doesn’t look familiar.
2. Watch the class videos and complete video quizzes
3. Use the Khan Academy to clarify anything you feel a bit fuzzy on.
4. Make sure you can do the practice problems.

Everyone else

1. Start by reviewing the Khan Academy videos
2. Work through all the Khan Academy practice problems.
3. Watch the class videos and complete video quizzes
4. Head into the practice problems, and review concepts where you are still stuck.

SW 2.1 Random Variables and Probability Distributions

• Introduction to random variables and probability distributions variables (entire playlist, starting with “Constructing a probability distribution for a random varible”)
• Mean and standard deviation of random variables (entire playlist)
• Conditional probability (entire playlist)

SW 2.2 Expected Values, Mean, and Variance

• You only need a general knowledge of kurtosis and skew.
• Transforming random variables (entire playlist, just 3 videos)

SW 2.3 Two Random Variables

• Law of iterated expectations can be skimmed
  • Make sure that you’re good with key concept box 2.3!
• Combining random variables (entire playlist)

SW 2.4 The Normal, Chi-Squared, Student t, and F distributions

• Normal distribution only, but we’ll discuss t-distributions a little bit. We won’t use chi-squared, and we’ll come back to F-distributions later. For any work we’ll be doing, our sample sizes will be greater than 100, so $t\to z$.
• Z-scores (entire playlist)
• Normal distributions and the empirical rule not explicitly covered, but extremely useful review for intuition
• Normal distribution calculations (entire playlist, walks through all the possible ways of working w/ normal tables)
• Note that if you’re relying on the videos I’ve posted below, they do not cover this section