subject: Probability exercises [print this page] Probability exercises Probability exercises
Probability theory - Probability theory is a challenging subject. Solving probability exercises is the best way to master the subject. StaLect.com, the digital textbook on probability theory and statistics, contains a number of probability exercises with carefully explained solutions.
The following is a list of probability exercises that can be found on StatLect.com, subdivided by topic:
Probability exercises on probability and events
Exercises on probability and probability measures, conditional probability, independent events.
Probability exercises on random variables and random vectors
Exercises on random variables and univariate probability distributions, random vectors and multivariate probability distributions, expected value, variance, covariance.
Probability exercises on conditional probability, conditional distributions and independence
Exercises on independent random variables.
Probability exercises on advancd probability theory topics
Exercises on legitimate probability density functions, the Riemann-Stieltjes integral.
All of the above topics, as well as many other topics in probability theory and statistics are covered on StatLect.com. All the probability exercises proposed on StatLect.com contain a carefully explained solution. The solution is hidden at first, but the user can click on a button to see it after he/she has tried to solve the exercise autonomously.
StatLect.com is a website providing access to an ever-growing collection of lectures and exercises on statistics and probability theory. The lectures on StatLect all have a similar structure: in the first part of each lecture, only the essential things about a topic are presented, first intuitively, then more rigorously; after introducing the essentials, more details are added, at an elementary level; the more advanced details are discussed after the elementary details; in the final part of each lecture, the reader can find a problem set with probability exercises and their solutions. The probability exercises are at increasing levels of difficulty. When a technical term from probability theory or statistics is used in a lecture for the first time, readers can click on the technical term and be redirected to the lecture where the term was first defined and explained.
The probability exercises and the lectures on probability theory are frequently updated and revised, so that they can become more complete and easier to understand as time elapses (hopefully also possible mistakes are corrected in this way). Furthermore, users can leave some feedback and ask for clarifications using discussion boards.
Probability theory lectures and exercises on StatLect are for free. The number of lectures and probability exercises keeps growing over time.
