Intro to Prob and Stats
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There is no required textbook. All lecture notes will be posted here. For further reading I recommend John E. Freund's Mathematical Statistics with Applications. Strange Fact: The author died in 2004 and the current edition is written by Miller and Miller.
Office Hours: Tues and Wed at 4-5pm over Zoom. Also by appointment. Here is the syllabus. | ||
| Course Notes | ||
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| Item | Date | Information |
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Homework 1 Solutions |
Thurs Sept 2 |
Interactive Binomial Motivation: Coin Flipping Algebra of Sets Three Rules for Probability |
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Homework 2 Solutions |
Thurs Sept 16 |
Principles of Counting Multinomial Probability (Dice Rolling) Hypergeometric Probability (Urn Problems) Conditional Probability and Bayes' Theorem |
| Exam 1: Thurs Sept 23, in class Solutions | ||
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Homework 3 Solutions |
Thurs Oct 7 |
Definition of Random Variables Definition of Expected Value Linearity of Expected Value Expected Value of Geometric and Binomial |
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Homework 4 Solutions |
Thurs Oct 21 |
Variance and Standard Deviation Covariance Joint Distributions Independence of Random Variables |
| Exam 2: Thurs Oct 28, in class Solutions | ||
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Homework 5 Z Table Solutions |
Thurs Nov 11 |
Continuous Random Variables Law of the Unconscious Statistician De Moivre-Laplace Theorem Central Limit Theorem |
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Homework 6 T Table Chi^2 Table Solutions |
Thurs Dec 2 |
Hypothesis Tests Confidence Intervals T and Chi^2 Distributions Goodness of Fit? |
| Exam 3: Thurs Oct 28, in class Solutions | ||