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Probability & Random Variables - Week 5 - Lecture 1 - Expectation and Variance
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Probability and Random Variables
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- 1 Probability & Random Variables - Week 2 - Lecture 1 - Probability Spaces; Axioms and properties ..
- 2 Probability & Random Variables - Week 2 - Lecture 2 - Discrete&Continuous Prob. Laws, Conditional P.
- 3 Probability & Random Variables - Week 2 - Lecture 3 - Discrete&Continuous Prob. Laws, Conditional P.
- 4 Probability & Random Variables - Week 3 - Lecture 1 - Total Probability Theorem, Bayes's Rule
- 5 Probability & Random Variables - Week 3 - Lecture 2 - Independence, Conditional Independence
- 6 Probability & Random Variables - Week 3 - Lecture 3 - Independence, Conditional Independence
- 7 Probability & Random Variables - Week 4 - Lecture 1 - Independent Trials, Counting
- 8 Probability & Random Variables - Week 4 - Lecture 2 - Discrete Random Variables
- 9 Probability & Random Variables - Week 4 - Lecture 3 - Discrete Random Variables
- 10 Probability & Random Variables - Week 5 - Lecture 1 - Expectation and Variance
- 11 Probability & Random Variables - Week 5 - Lecture 2 - Properties of Expectation&Variance, Joint PMFs
- 12 Probability & Random Variables - Week 5 - Lecture 3 - Properties of Expectation&Variance, Joint PMFs
- 13 Probability & Random Variables - Week 6 - Lecture 1 - Conditional PMFs
- 14 Probability & Random Variables - Week 6 - Lecture 2 - Conditioning one random variable on another
- 15 Probability & Random Variables - Week 6 - Lecture 3 - Conditional Expectation
- 16 Probability & Random Variables - Week 7 - Lecture 1 - Iterated expectation, independence of rvs
- 17 Probability & Random Variables - Week 7 - Lecture 2 - Independence of Random Variables
- 18 Probability & Random Variables - Week 7 - Lecture 3 - Independence of Random Variables
- 19 Probability & Random Variables - Week 8 - Lecture 1 - Continuous Random Variables
- 20 Probability & Random Variables - Week 8 - Lecture 2 - Expectation & Cumulative Distribution Function
- 21 Probability & Random Variables - Week 8 - Lecture 3 - Expectation & Cumulative Distribution Function
- 22 Probability & Random Variables - Week 9 - Lecture 1 - The Gaussian CDF
- 23 Probability & Random Variables - Week 9 - Lecture 2 - Conditional PDFs, Joint PDFs
- 24 Probability & Random Variables - Week 9 - Lecture 3 - Conditional PDFs, Joint PDFs
- 25 Probability & Random Variables - Week 10 - Lecture 1 - Conditioning a continuous rv on another
- 26 Probability & Random Variables - Week 10 - Lecture 2 - Conditional PDFs, Continuous Bayes's Rule
- 27 Probability & Random Variables - Week 10 - Lecture 3 - Conditional PDFs, Derived Distributions
- 28 Probability & Random Variables - Week 11 - Lecture 1 - Derived Distributions
- 29 Probability & Random Variables - Week 11 - Lecture 2 - Functions of Random Variables, Derived PDFs
- 30 Probability & Random Variables - Week 11 - Lec. 3 - Sum of Independent rvs, Correlation & Covariance
- 31 Probability & Random Variables - Week 12 - Lecture 1 - Applications of Covariance
- 32 Probability & Random Variables - Week 12 - Lecture 2 - Transforms (Moment Generating Functions)
- 33 Probability & Random Variables - Week 12 - Lecture 3 - Transforms (Moment Generating Functions)
- 34 Probability & Random Variables - Week 13 - Lec. 1-Markov&Chebychev Inequalities,Convergence In Prob.
- 35 Probability & Random Variables - Week 13 - Lecture 2 - The Weak Law of Large Numbers
- 36 Probability & Random Variables - Week 13 - Lecture 3 [Part 1] - The Central Limit Theorem
- 37 Probability & Random Variables - Week 13 - Lecture 3 [Part 2] - The Central Limit Theorem
- 38 Probability & Random Variables - Week 14 - Lecture 1 - The Bernoulli Process
- 39 Probability & Random Variables - Week 14 - Lecture 2 - The Poisson Process
- 40 Probability & Random Variables - Week 14 - Lecture 3 - The Poisson Process
