Introduction to Probability and Statistics

Class Slides

Listed in the following table are the in-class slides and post-class materials for each of the class sessions. The post-class version of the slides contains the solutions to the board problems, clicker questions, and discussion questions that were posed to the students during class. It was not always the case that the end of the planned set of slides was reached in each class, so the last slides in one deck may be repeated in the next deck.

WEEK #	SES #	IN-CLASS SLIDES	POST-CLASS SLIDES
Probability
1	C1	Introduction, counting and sets (PDF)	Class 1 Slides with Solutions (PDF)
	C2	Probability basics (PDF)	Class 2 Slides with Solutions (PDF)
2	C3	Conditional probability, Bayes’ theorem (PDF)	Class 3 Slides with Solutions (PDF)
	C4	Discrete random variables, expectation (PDF)	Class 4 Slides with Solutions (PDF)
3	C5	Variance, continuous random variables (PDF) Gallery of continuous variables, histograms (PDF)	Class 5 Slides with Solutions (PDF) Class 5 Slides, cont’d with Solutions (PDF)
4	C6	Expectation, variance, law of large numbers and central limit theorem (PDF)	Class 6 Slides with Solutions (PDF)
	C7	Joint distributions: Independence, covariance and correlation (PDF)	Class 7 Slides with Solutions (PDF)
5	C8	Review for exam 1 (PDF)	Class 8 Slides with Solutions (PDF)
	C9	No slides; exam 1 during class
Statistics: Bayesian Inference
5	C10	Introduction to statistics; maximum likelihood estimates (PDF)	Class 10 Slides with Solutions (PDF)
6	C11	Bayesian updating with known discrete priors (PDF)	Class 11 Slides with Solutions (PDF)
	C12	Bayesian updating: Probabilistic prediction; odds (PDF)	Class 12 Slides with Solutions (PDF)
7	C13	Bayesian updating: Continuous prior, discrete data (PDF)	Class 13 Slides with Solutions (PDF)
	C14	Beta distributions: Continuous data (PDF)	Class 14 Slides with Solutions (PDF)
8	C15	Conjugate priors; choosing priors (PDF)	Class 15 Slides with Solutions (PDF)
	C16	Probability intervals (PDF)	Class 16 Slides with Solutions (PDF)
Statistics: Frequentist Inference—Null Hypothesis Significance Testing (NHST)
9	C17	Frequentist methods; NHST (PDF - 1.1MB)	Class 17 Slides with Solutions (PDF - 1.4MB)
	C18	NHST II: Significance level, power, t-tests (PDF)	Class 18 Slides with Solutions (PDF)
10	C19	NHST III: Gallery of tests (PDF)	Class 19 Slides with Solutions (PDF)
	C20	Comparison of Bayesian and frequentist inference (PDF)	Class 20 Slides with Solutions (PDF)
11	C21	Review for exam 2 (PDF)	Solutions file: Review of exam 2 (PDF)
Statistics: Confidence Intervals; Regression
12	C22	Confidence intervals for normal data (PDF)	Class 22 Slides with Solutions (PDF)
	C23	Confidence intervals II (PDF)	Class 23 Slides with Solutions (PDF)
13	C24	Bootstrap confidence intervals (PDF)	Class 24 Slides with Solutions (PDF)
	C25	Linear regression (PDF)	Class 25 Slides with Solutions (PDF)
14	C26	Problems file: Review for final exam (PDF) Solutions file: Review of final exam (PDF)
	C27	Problems file: Review for final exam, cont’d (PDF) Solutions file: Review of final exam, cont’d (PDF)