Tutorials:
Notes:
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Introduction to Set Theory
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Probability Set Function
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Birthday and Matching Problems
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Conditional Independence and Probability
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Random variables: an introductory discussion
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Discrete random variables: some specifics
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Discrete random variables: generating functions
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The binomial and related distributions
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The Poisson distribution
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Continuous random variables: an introduction
- Symmetry and unimodality in distributions. Functions of continuous RVs
- Expectations of functions of continuous random variables and their moments
- Some Special Continuous Distributions
- Normal Distribution
- Central Limit Theorem
- Bivariate Joint Distributions
- Conditional Distributions and Conditional Expectations
- Using Conditioning to Evaluate Mean and Variance
- Covariance and Correlation
- Multinomial distribution
- Joint density function and its role
- Expectations of functions of random vectors