fa25-cs540 cs540
Lecture 2: Probability Lecture 2: Probability
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Conditional Probability
Definition
Example: Weather and Traffic
Chain Rule
Law of Total Probability
Example: Disease Testing
Bayes’ Rule
Terminology
Example: Medical Diagnosis (Continued)
Example: Spam Classification
Independence
Definition
Example: Coin Flips
Conditional Independence
Example: Conditional Independence
Random Variables
Definition
Discrete Random Variables
Example: Dice Roll
Example: Bernoulli Distribution
Example: Binomial Distribution
Expectation
Definition
Properties of Expectation
Example: Dice Roll
Example: Bernoulli Distribution
Example: Binomial Distribution
Variance and Standard Deviation
Variance
Standard Deviation
Example: Dice Roll
Practice Problems
Key Takeaways
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