Probability and Statistics for Engineers (Part 1 of 8): set theory, events, axioms of probability

Part 1: introduction to probability and statistics, set theory, events, axioms of probability.

0:00 Introduction
5:07 what is probability? What is statistics?
10:15 Sets
15:58 Union of sets
19:11 Intersection of sets
24:44 Disjoint sets
26:54 Partition
29:16 Complement of set
32:06 Difference of sets
35:53 Disjoint union
42:14 De Morgan's law
54:36 Sample space and events
1:04:08 Axioms of probability
1:09:28 Probability of union

Probability and Statistics for Engineers: sets, events, axioms of probability, random variables, probability mass function, probability density function, cumulative distribution function, expectation and variance, single discrete or continuous random variable, systems and component reliability, multiple discrete or continuous random variables, jointly distributed random variables, change of variables, moments, moment generating function, conditional probability, conditional expectation, conditional variance, law of large numbers, central limit theorem, basic properties of estimators, method of moments, and maximum likelihood estimators.

Module given at Imperial College London to second year undergraduate students in electrical and electronic engineering.

#Probability #Statistics

[lolomg]

Only 5 minutes in and I've learned more than my professor in 5 weeks. thank you for uploading these

[prof.brunoclerckx]

0:00 Introduction
5:07 what is probability? What is statistics?
10:15 Sets
15:58 Union of sets
19:11 Intersection of sets
24:44 Disjoint sets
26:54 Partition
29:16 Complement of set
32:06 Difference of sets
35:53 Disjoint union
42:14 De Morgan's law
54:36 Sample space and events
1:04:08 Axioms of probability
1:09:28 Probability of union

[NG-ymyr]

Nice on uploading the videos. Would recommend putting an indication of the topic covered in the name of the video. Otherwise it makes it quite hard for someone to find.

[leahthegeek]

this is so great. thank you so much the course is really informative.

[malaikaharoon]

hey i am a computer science student and am offered this course in my current semester (2nd) and the book offered is probability and statitics for engg but i have no base for prob or stats

[orhansargul]

si
r can ı ask you a question how can ı concant you

[lakshkaushik]

where can the get the pdf of the book hines

[terrancepage]

at 1:16:10, where, how, and why did you draw that connection? that wasnt indicative of anything you taught in the lecture

[nadeemalli]

Do you have a copy of the formula sheet

[RiyaKumari-fzmz]

Will this playlist be helpful for BBE students?

[Lemurai]

This was broken down well, by far the hardest quantitative course I’ve ever taken which wasn’t well thought out or organized was probability for biological systems, it was insanely & unnecessarily difficult, but it was a requirement for bio-pharmaceutical engineering at the time, I’m glad they replaced that course with this one, as the latter was just all over the place & had no real locus of where it was intending to direct students towards. Great presentation.

[hello-gtsu]

Is those courses open to the public, allowing individuals who are not enrolled at Imperial College London to access and watch it?

[Shashank_Shahi]

Is this playlist useful for artificial intelligence/machine learning ?
Thank You for your videos 👍

[emmanuelsobowale]

Pls is the disjoint union commutative. I noticed that he did not assign the values straight, he assigned A to F and B to E when finding the probability of (E U F)

[taufanjuliano]

52:05 pardon me prof, why for one and only one occurs not AND (n) but OR (U)?

[ayanpokharel]

Thank you professor uploading these 🙏🙏