Data 88S: Probability and Mathematical Statistics for Data Science
UC Berkeley, Spring 2025
Week 14
- Homework 11 has been released. It is due next Tuesday, April 29th at 5 PM.
Calendar
Week 1: Fundamentals
- Jan 20
- Martin Luther King Jr. Holiday
- Jan 22
- Section No Section
-
- Homework Homework 1
- Due Jan 28 at 5PM
- Jan 24
-
- Lecture Exact calculations, and bounds
- Ch 1.2-1.3
- Section Ch 1 Ex 1, 2, 5
Week 2: Conditioning, Bayes Rule, Independence
- Jan 27
-
- Lecture Intersections of several events
- Ch 2.1-2.2
- Jan 28
-
- Homework Homework 2
- Due Feb 4 at 5PM
- Jan 29
-
- Lecture Updating chances: Bayes’ rule
- Ch 2.3-2.4
- Section Ch 2 Ex 5, 10, 6
- Jan 31
-
- Lecture Bayes’ rule examples, independence
- Ch 2.4-2.5
- Section Ch 2 Ex 11, 12, 4
Week 3: Random Variables
- Feb 3
-
- Lecture Random variables
- Ch 3.1-3.2
- Feb 4
-
- Homework Homework 3
- Due Feb 11 at 5PM
- Feb 5
-
- Lecture Random variables and their distributions
- Ch 3.2
- Section Ch 3 Ex 1, 8, 7
- Feb 7
-
- Lecture Random counts: the binomial
- Ch 3.3
- Section Ch 3 Ex 2, 9, 3
Week 4: Random Counts
- Feb 10
-
- Lecture Random counts: the hypergeometric
- Ch 3.4
- Feb 11
-
- Homework Homework 4
- Due Feb 18 at 5PM
- Feb 12
-
- Lecture CDF; waiting times
- Ch 4.1-4.2
- Section Ch 3 Ex 6, 10, Ch 4 Ex 2
- Feb 14
-
- Lecture Waiting times; exponential approximation
- Ch 4.2-4.3
- Section Ch 4 Ex 4, 5, 6
Week 5: Random Counts; Expectation
- Feb 17
- President’s Day Holiday
- Feb 18
-
- Homework Homework 5
- Due Feb 25 at 5PM
- Feb 19
-
- Lecture The Poisson distribution
- Ch 4.4
- Section Ch 4 Ex 7, 8, 12
- Feb 21
-
- Lecture Expectation
- Ch 5.1
- Section Ch 5 Ex 1a, 2 Midterm Review Problems
Week 6: Midterm; Expectation
- Feb 24
- Lecture Midterm review
- Feb 26
-
- Exam Midterm 1
- 12PM - 1PM
- Section No Section
- Feb 28
-
- Lecture Functions of random variables; additivity
- Ch 5.2
- Section Ch 5 Ex 1, 5
Week 7: Expectation
- Mar 3
-
- Lecture Method of indicators
- Ch 5.3
- Mar 4
-
- Homework Homework 6
- Due Mar 11 at 5PM
- Mar 5
-
- Lecture Unbiased estimators
- Ch 5.4
- Section Ch 5 Ex 1bc, 6, 8, 9
- Mar 7
-
- Lecture Conditional distribution and expectation
- Ch 5.5
- Section Ch 5 Ex 11, 12, 13
Week 8: Variance & SD
- Mar 10
-
- Lecture Expectation by conditioning
- Ch 5.6
- Mar 11
-
- Homework Homework 7
- Due Mar 18 at 5PM
- Mar 12
-
- Lecture Measuring variability
- Ch 6.1-6.2
- Section Ch 5 Ex 14, 15, Ch 6 Ex 1
- Mar 14
-
- Lecture Tails of distributions
- Ch 6.3-6.4
- Section Ch 6 Ex 2, 7, 6, 5
Week 9: Variance of a Sum
- Mar 17
-
- Lecture Variability of a random sample sum
- Ch 7.1
- Mar 18
-
- Homework Homework 8
- Due Apr 01 at 5PM
- Mar 19
-
- Lecture The accuracy of a simple random sample
- Ch 7.2
- Section Ch 7 Ex 1, 3a, 8
- Mar 21
-
- Lecture Large samples and the law of averages
- Ch 7.3
- Section No Section
Week 10: Spring Break
- Mar 24
- Spring Break
- Mar 26
- Spring Break
- Mar 28
- Spring Break
Week 11: Central Limit Theorem
- Mar 31
-
- Lecture Central Limit Theorem 1
- Ch 8.1-8.2
- Apr 1
-
- Homework Homework 9
- Due Apr 08 at 5PM
- Apr 2
-
- Lecture Central Limit Theorem 2
- Ch 8.2-8.3
- Section Ch 8 Ex 1, 2, 3, 4
- Apr 4
-
- Lecture Inference: confidence intervals based on the CLT
- Ch 9.1-9.2
- Section Ch 9 Ex 1, 2, 4
Week 12: Midterm; Inference
- Apr 7
- Lecture Midterm review
- Apr 9
-
- Exam Midterm 2
- 12PM - 1PM
- Section No Section
- Apr 11
-
- Lecture Inference: testing hypotheses 1
- Ch 9.3
- Section Ch 9 Ex 5, 9, 7, 8
Week 13: Inference; Density
- Apr 14
-
- Lecture Inference: testing hypotheses 2
- Ch 9.4
- Apr 15
-
- Homework Homework 10
- Due Apr 22 at 5PM
- Apr 16
-
- Lecture Probability density
- Ch 10.1
- Section Ch 9 Ex 11, Ch 10 Ex 1ab, Ch 9 Ex 10
- Apr 18
-
- Lecture Expectation and variance; the uniform distribution
- Ch 10.2
- Section Ch 10 Ex 1cde, 2, 10ab
Week 14: Density; Estimation
- Apr 21
-
- Lecture The exponential distribution
- Ch 10.3
- Apr 22
-
- Homework Homework 11
- Due Apr 29 at 5PM
- Apr 23
-
- Lecture Some properties of the normal distribution
- Ch 10.4
- Section Ch 10 Ex 10c, 3, 4, 9
- Apr 25
-
- Lecture Estimator: bias and variance
- Ch 11.1
- Section Ch 10 Ex 7, 8, Ch 11 Ex 1a
Week 15: Regression
Week 16: RRR Week
- May 5
- RRR Week
- May 7
- RRR Week
- May 9
- RRR Week
Week 17: Finals Week
- May 14
-
- Final Exam
- 3PM - 6PM