MTH-PROB · 10 pages
Sample spaces, conditioning, random variables, and limit theorems.
Contents
Lecture 1: Sample Space and Event · Lecture 2: Probability · Lecture 3: Examples
Lecture 4: Conditional Probability · Lecture 5: Problems on Conditional Probability · Lecture 6: Independent Events
Lecture 7: Random Variable · Lecture 8: Continuous Random Variables · Lecture 9: Moments and MGF
Lecture 10: Joint Distribution of Random Variables · Lecture 11: Change of Variables · Lecture 12: Markov & Chebyshev's Inequalities
Lecture 13: The Central Limit Theorem · Lecture 14: Conditional PMF and Expectation · Lecture 15: Conditional PDF and Expectation
Q1: Event expressions · Q2: Random digits · Q3: Cards …
Q1: Colorblindness and Bayes · Q2: Two-card conditional probability · Q3: Rain on Monday and Tuesday …
Q1: Possible Values · Q2: PMF from CDF · Q3: Density, Mean and Variance …
Q1: Uniform MGF · Q2: Working and Repair Times · Q3: Chebyshev Inequality …
Q1: Conditional Second Moment · Q2: Gamma-Poisson Model · Q3: Randomly Selected Coin …