Introductory Probability:
Statistics 116
- Practicalities
- About the Textbook -with link
- Logistics
- Office Hours
- Approximate Class Schedule
- Prerequisites
- Exams and Assignments
- Classattendance
- Study Guide for the first midterm
- Examples of Exams from past years
- Solutions to the first midterm
- Study Guide for Midterm 2
- The Final
- Homeworks
- Homework 1
- Homework 2: due Wed. Oct. 7th, before class
- Homework 3: due Wed. Oct. 14th, before class
- Homework 4: due Wed. Oct. 21st, before class
- Homework 5: due Monday Nov. 2nd , before class
- Homework 6: due Monday Nov. 9th, before class
- Homework 7: due Wednesday Nov. 18th, before class
- Homework 8: due Wednesday Nov. 25th, before class
- Homework 9-optional if you did all others: due Wednesday Dec. 2nd, before class
- Some Puzzles to think about
- Lecture Summaries
- Basic Concepts
- Probability
- Sample Space 09/24
- Matlab Dice Example from lecture 09/24/98
- Definition of Probability 9/25
- Discrete Uniform Random Distribution
- Computer Simulation
- Problem Session,09/25/98: De Méré's Problem
- Another Matlab Example for dice game
- Set Facts, Venn Diagrams 9/28
- Properties of Probabilities 9/28
- Tree Diagrams
- Determination of probabilities 9/29
- Infinite Sample Spaces 9/29
- Continuous random variables 9/30
- Examples
- Monte Carlo Procedures for computing
areas 9/30
- Buffon's Needle - 9/30
- Densities 10/2
- Examples with simulations 10/2
- Cumulative Distribution Function 10/5
- Examples with functions of Uniform Random Numbers 10/5
- Combinatorics
- Enumeration Rules
- Birthday Problem 10/6
- Approximating n! 10/7
- A note on doing symbolic computations
- More about k-subsets 10/9
- The matching Problem 10/9
- Multinomial Coefficients and applications 10/12
- Enumeration Rules
- Conditional Probability
- Definition and Properties 10/12
- Conditional Probability IS a probability 10/12
- Examples of using conditional probability 10/13
- Monty Hall 10/14
- Independence 10/14 and 10/16
- Independence of more than two events 10/20
- The Craps principle 10/16
- Example of computation for craps 10/19
- Joint Distributions 10/19, 10/20
- Gambler's Ruin 10/21
- Joint Probability Distribution for n variables 10/21
- Conditionning with continuous random
variables
- Jointly Distributed random Variables 10/26
- Continuous Random Variables 10/26
- Marginal Distributions10/26
- Examples10/26
- Independent Random Variables 10/26
- Independence for Continuous Random Variables 10/27
- Conditional Distributions 10/27
- Conditional Density 10/28
- Bayes Billiard Balls 10/28
- Beta Random Variable 10/28
- Order Statistics 10/30
- Example with a Uniform Random Variable
- Special Distributions
- Binomial Distribution 10/29
- Odds Ratios and Mode 10/30
- Hypergeometric Random Variable 11/3
- Geometric 11/3
- Negative Binomial 11/3
- Poisson random variable 11/2
- Motivation
- Definition 11/2
- Parameters of Distributions 11/3
- Special Continuous Distributions
11/2
- Change of Variables 11/3
- Exponential Random Variable 11/4
- Normal Random Variables 11/4
- Standard Normal Random Variable
- Normal Random Variable
- How was the constant
found?
- Binomial Distribution 10/29
- Expectation and Variance 11/6
- Discrete Random Variable 11/6
- Properties of Expectation 11/6
- Pascal's rationalisation of religion
- Indicator variables and Bernouilli
variables
- Examples of computing expectations of sums 11/9
- Conditional Expectation 11/9
- Variance 11/10
- Conditional Expectation
- Expectations and Variances for Continuous
Random Variables 11/16
- Properties
- Variance 11/17
- Discrete Random Variable 11/6
- Special Lecture:11/18: Persi Diaconis on ESP
- Sums of Random Variables 11/23
- Discrete CAse
- Sum of Poisson independent 11/24
- Sums of Continuous Random Variables
- Gamma density
- Sum of two independent Normal random variables 11/25
- Discrete CAse
- Limit Theorems
- Chebychev's Inequality
- Weak Law of Large Numbers
- The Central Limit Theorem
- Polar Method for Generating Normal Random Variables 12/2
- Web sites for the central limit theorem
- Basic Concepts
- Section Summaries
- Sample Spaces with Equally Likely Outcomes 10/1/98
- Inclusion Exclusion Principle and Binomial 10/8/98
- Inclusion Exclusion continued and Combinatorics 10/15/98
- Geometric and Hypergeometric Distributions 10/29
- References
- Reading Material
- Web references
- Applets to try out
- Historical Websites
- A very useful glossary
- Sites with Matlab tutorials
- Index
- About this document ...
Susan Holmes
1998-12-07
1998-12-07