STA4321: Introduction to Probability
Instructor. Aaron J. Molstad (amolstad@ufl.edu)
Office hours. 5:00 - 6:00PM (Thursday, 202 FLO), 10:35 - 11:45AM (Friday, [Zoom])
Teaching assistant. Dipshi Roychowdhury (droychowdhury@ufl.edu)
TA Office hours. 12:00 - 1:15PM (Monday, 234 FLO), 1:00 - 2:15PM (Friday,[Zoom])
Syllabus. [pdf]
Lecture. 9:35 - 10:25AM on Monday, Wednesday, and Friday in TUR 2319 and [Zoom]
Note that you must be logged into your UFL eLearning account to access course materials.
| Lecture | Topics | |||
| 1 (1/5) | Basic set theory, sample spaces, events [pdf][lecture] | |||
| 2 (1/7) | Axioms of probability [pdf][lecture] | |||
| 3 (1/10) | Fundamental principle of counting [pdf][lecture] | |||
| 4 (1/12) | Counting rules [pdf][lecture] |
Homework 1 (Due Friday, January 21st at 4:00pm) [pdf][solutions]
| 5 (1/14) | Conditional probability, indepedence [pdf][lecture] | |||
| 6 (1/19) | Inclusion-exclusion principle [pdf][lecture] | |||
| 7 (1/21) | Bayes rule, Monty Hall problem [pdf][lecture] |
Homework 2 (Due Friday, January 28th at 4:00pm) [pdf][solutions]
| 8 (1/24) | Random variables, mass functions [pdf][lecture] | |||
| 9 (1/26) | Distribution functions, expected value, variance [pdf][lecture] | |||
| 10 (1/28) | Properties of expected value [pdf][lecture] |
Homework 3 (Due Friday, February 4th at 4:00pm) [pdf][solutions]
| 11 (1/31) | Bernoulli and binomial random variables [pdf][lecture] | |||
| 12 (2/2) | Binomial and geometric random variables [pdf][lecture] | |||
| 13 (2/4) | Geometric random variables continued [pdf][lecture] | |||
| 14 (2/7) | Poisson random variables [pdf][lecture] | |||
| 15 (2/14) | Hypergeometric random variables [pdf][lecture] |
Exam 1 (Thursday, February 10th from 8:20 - 10:10 PM in TUR L005) [practice exam][practice exam solutions][complete notes][solutions]
| 16 (2/16) | Continuous random variables [pdf][lecture] | |||
| 17 (2/21) | Density functions [pdf][lecture] | |||
| 18 (2/23) | Expected value [pdf][lecture] |
Homework 4 (Due Friday, February 25th at 4:00pm) [pdf][solutions]
| 19 (2/25) | Uniform random variables [pdf][lecture] | |||
| 20 (2/28) | Exponential random variables [pdf][lecture] | |||
| 21 (3/2) | Gamma distribution [pdf][lecture] |
Homework 5 (Due Friday, March 11th at 4:00pm) [pdf][solutions]
| 22 (3/14) | Normal distribution [pdf][lecture] | |||
| 23 (3/16) | Beta distribution [pdf][lecture] | |||
| 24 (3/18) | Moment generating functions [pdf][lecture] |
Homework 6 (Due Friday, March 18th at 4:00pm) [pdf][solutions]
Exam 2 (Thursday, March 24th 8:20 - 10:20pm in FLI 0050) [practice exam][practice exam solutions][complete notes][solutions]
| 25 (3/21) | Moment generating functions [pdf][lecture] | |||
| 00 (3/23) | Exam 2 Review [extra problem][lecture] | |||
| 26 (3/28) | Joint distributions of discrete RVs [pdf][lecture] | |||
| 27 (3/30) | Joint distributions of continuous RVs [pdf][lecture] | |||
| 28 (4/4) | Independent random variables [pdf][lecture] |
Homework 7 (Due Friday, April 8th at 4:00pm) [pdf][solutions]
| 29 (4/6) | Probabilities with two random variables [pdf][lecture] | |||
| 30 (4/8) | Covariance and correlation [pdf][lecture] | |||
| 31 (4/11) | Variance of sums of RVs [pdf] | |||
| 32 (4/13) | Conditional expectations [pdf][lecture] | |||
| 32 (4/15) | Transformations [pdf][lecture] |
Homework 8 (Due Friday, April 15th at 4:00pm) [pdf][solutions]
Exam 3 (Tuesday, April 19th at 8:20pm in TUR L005) [practice exam][practice solutions][lecture notes]