Key Sequence

Notation

New Concepts

• conditional independence
• random variable
  • probability mass function
  • expectation

Important Results / Claims

• When you are using conditional probability, if you are consistently within your condition, you can effectively just leave it there
• conditioning on something CHANGES whether or not two things are independent

Questions

Interesting Factoids

Key Sequence

Notation

New Concepts

• random variables of interest
  • binomial distribution
  • Bernoulli distribution

Important Results / Claims

• New problem solving recipe
  • recognize classic random variable
  • define a random variable of the correct parameters
  • use their PMF and solve
• Galton Board

Questions

Debugging probability: put in large values of \(p\) for things; if you end up with a number higher than \(1\) for the probability, you probably tried to add not mutually exclusive events

Interesting Factoids

Key Sequence

Notation

New Concepts

• e
• variance
• poisson distribution

Important Results / Claims

• probability of k in x time

Questions

Interesting Factoids

Key Sequence

Notation

New Concepts

• support
• more discrete random variables!
  • geometric random variable
  • negative binomial distribution
• hypergeometric: drawing without replacement
• probability density function
• continuous random variables
  • uniform distribution
  • exponential distribution
• cumulative distribution function

Important Results / Claims

• PDFs are derivatives of probability

Questions

Interesting Factoids

Key Sequence

Notation

New Concepts

Important Results / Claims

Questions

Interesting Factoids