Data 88S · Probability and Mathematical Statistics for Data Science

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8/24 - Welcome to Data 88S Fall 2022!

Week 0 Overview

Getting Started

Before August 24

Course Information

Week 1

Course Introduction and Chapter 1

8/24-8/26

Homework 1 (Due 8/30 at 4pm)

Week 2

Intersections and Conditioning

8/29-9/2

Homework 2 (Due 9/6 at 4pm)

Week 3

Random Variables

9/5-9/9

Homework 3 (Due 9/13 at 4pm)

Week 4

Random Counts, Exponential Approximations, and the (Hyper)geometric Distributions

9/12-9/16

Homework 4 (Due 9/20 at 4pm)

Week 5

Poisson, Expectation, and Additivity

9/19-9/23

Homework 5 (due 9/27 at 4pm)

Week 6

Unbiased Estimators, Expectation by Conditioning

9/26-9/30

Homework 6 (due 10/4 at 4pm)

Week 7

Standard Deviation and Variance

10/3-10/7

Homework 7 (due 10/10 at 5pm (note that this is MONDAY))

Week	Date	Content	Notes & Assignments
1		Course introduction; fundamentals, exact calculations, and bounds Friday discussion problems: Ch. 1 Ex. 1	Homework 1 (Due 8/30 at 4pm)
2		The rules; intersections and conditioning Updating chances; independence Wednesday discussion problems: Ch. 1 Ex. 2; Ch. 2 Ex. 5, 10, 12 Friday discussion problems: Ch. 2 Ex. 4, 11, 7, 6	Homework 2 (Due 9/6 at 4pm)
3		Random variables Quiz 1 on Wed 9/7 Random counts: binomial Friday discussion problems: Ch. 3 Ex. 1, 2, 3cd	Homework 3 (Due 9/13 at 4pm)
4		Random counts: hypergeometric Exponential approximations; geometric Wednesday discussion problems: Ch. 3 Ex. 6, 9, 10; Ch. 4 Ex. 2 Friday discussion problems: Ch. 4 Ex. 4, 5, 6	Homework 4 (Due 9/20 at 4pm)
5		Law of small numbers: Poisson Quiz 2 on Wed 9/21 Expectation and additivity Friday discussion problems: Ch. 5 Ex. 1, 4, 7	Homework 5 (due 9/27 at 4pm)
6		Unbiased estimators Expectation by conditioning	Homework 6 (due 10/4 at 4pm)
7		Standard deviation; tail bounds Variance and additivity: binomial and hypergeometric	Homework 7 (due 10/10 at 5pm (note that this is MONDAY))
8		Midterm on Tue 10/11 Large samples: law of large numbers
9		Central Limit Theorem CLT and confidence intervals
10		Testing hypotheses Probability density
11		Expectation and variance revisited The exponential distribution
12		The normal distribution Quiz 3 on Wed 11/9 Estimation: bias and variance
13		Correlation and the regression line Regression effect and regression fallacy
14		Error in regression
15		Inference in regression Conclusion