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Lecture 21 (04/30) Proof of the central limit theorem

Lecture 20 (04/28) Discussion of central limit theorem

Lecture 19 (04/23) Strong law of large numbers

Lecture 18 (04/21) Weak law of large numbers

Lecture 17 (04/14) Fundamental deviation bounds

Lecture 16 (04/02) Covariance and correlation

Lecture 15 (03/31) Independence of random variables

Lecture 14 (03/26) Joint continuous random variables

Lecture 13 (03/24) Joint discrete random variables

Lecture 11 (03/10) Discussion of DeMoivre-Laplace theorem

Lecture 10 (03/05) Intro to continuous random variables

Lecture 9 (03/03) Expectation and variance

Lecture 8 (02/12) Introduction to discrete random variables

Lecture 7 (02/10) Independence of events

Lecture 6 (02/05) Bayes' rule

Lecture 5 (02/03) Conditional probability

Lecture 4 (01/29) Sequential events

Lecture 3 (01/27) Equally likely events

Lecture 2 (01/22) Axioms of probability

Lecture 1 (01/20) Counting carefully