Probability made easy: Expected value and variance
4.5 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
377 students enrolled
Wishlisted Wishlist

Please confirm that you want to add Probability made easy: Expected value and variance to your Wishlist.

Add to Wishlist

Probability made easy: Expected value and variance

Expected value and variance
4.5 (2 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
377 students enrolled
Created by Dynamic Lectures
Last updated 1/2016
English
Current price: $10 Original price: $20 Discount: 50% off
4 days left at this price!
30-Day Money-Back Guarantee
Includes:
  • 2.5 hours on-demand video
  • 1 Supplemental Resource
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • learn how to predict the results of random events (expected value)
  • learn how to predict how much on average the actual results would deviate from your estimate (standard deviation)
View Curriculum
Requirements
  • familiarity with fundamental notions such as outcomes, events and probability would be helpful (these notions are briefly reviewed in the first section)
Description

This course is a part in a series of courses that covers a complete course in probability theory taught in the US colleges.

In this course you will learn the notions of expected value and variance. You will learn how to predict the results of random events and how to predict how much on average the actual results would deviate from your estimate.

If you are looking for an efficient way to learn/review probability theory, this course is for you. With dynamic slides instead of slower handwriting, each hour of the series covers the material of more than a week of regular live lectures! Though it is not a replacement for a live course, it is a fantastic aid.

You may review lectures as many times as you want, skip easy exercises when the material is familiar, choose your own pace! If you need help, I will answer every single question you post on the discussion board. If you are not completely satisfied, I offer a 30 day money back guarantee.

What is in the package:

  • more than 20 theoretic video lectures and lectures with motivations,
  • 19 practice video lectures marked as easy, intermediate and advanced,
  • more than 60 pages of transcripts of video lectures,
  • hundreds of slides,
  • paradoxes, jokes, and, of course,
  • my help (post your questions on the board!).
Who is the target audience?
  • students who would like an efficient tutorial
Students Who Viewed This Course Also Viewed
Curriculum For This Course
44 Lectures
02:24:24
+
Introduction
1 Lecture 02:58
+
Review
4 Lectures 09:27

Uniform distribution
01:34

Review: Random variables
02:28

Review: Binomial coefficients
02:38
+
Classical random variables
9 Lectures 41:39
Binomial distribution
06:34

Problem solving (easy)
03:42

Geometric random variable
04:03

Problem solving (easy)
03:28

Negative binomial distribution
08:41

Problem solving (easy)
01:13

Poisson distribution
07:14

Problem solving (easy)
03:54

Problem solving (warning)
02:50
+
Expected value
11 Lectures 43:54
Expected value (motivation)
02:38

Expected value (definition)
02:15

Problem solving (easy)
03:52


Problem solving (advanced)
06:00

Functions of random variables. Problem solving (easy)
04:29

Expected values of sums of random variables
05:02

Expected values of products of random variables
03:44

Expected values of sums and products: Warning
05:28

Expected values of sums of random variables: Proof
03:51

Expected values of products of random variables: Proof
03:13
+
Variance
8 Lectures 22:41
Variance of random variables: Motivation
02:53

Variance of a random variables: Definition
01:48

Problem solving (easy)
04:36

Properties of variance
02:54

Problem solving (warning)
01:59

Problem solving (easy)
02:17

Problem solving (intermediate)
04:07

Proof of the first property of the variance
02:07
+
Expected value and variance of classical random variables
10 Lectures 22:45
Classical random variables: Binomial random variable
01:10

Problem solving (easy)
02:03

Binomial random variable. Proof of the formulas
04:39

Classical random variables: Geometric random variable
02:02

Problem solving (easy)
02:05


Problem solving: Negative binomial random variable
02:31

Classical random variables: Poisson random variable
01:25

Problem solving (easy)
01:12

Problem solving (advanced)
03:37
+
Thank you!
1 Lecture 00:00
Thank you!
1 page
About the Instructor
Dynamic Lectures
4.5 Average rating
29 Reviews
3,003 Students
6 Courses

I am a professional mathematician. As a mathematician I worked in US, Mexico, Japan, Canada and Germany. I am an author of 16 research papers published in internationally renowned journals.

I taught courses ranging from middle school to PhD level, including such high level courses as Topological Quantum Field Theory, Moduli spaces of Riemann curves, and Topological Surgery Theory.

What you may expect from me is a well structured course with clearly explained notions and theory.