# • ### Unizor - Probability - Random Variables - Introduction

Historically, the theory of probabilities was developed from attempts to study the games and analyz… Zor Shekhtman Oct 1, 2014 52 views

• ### Unizor - Probability - Random Variables - Expected Values

Assume our random experiment (like spinning the roulette wheel and a ball on it) results in the fol… Zor Shekhtman Oct 1, 2014 40 views

• ### Unizor - Probability - Random Variables - Expectation Examples

Example 1 What is the expected value of a random variable ξ that equals to a sum of two numbers obt… Zor Shekhtman Oct 1, 2014 40 views

• ### Unizor - Probability - Random Variables - Expectation Sum

Our goal in this lecture is to prove that expectation of a sum of two random variables equals to a… Zor Shekhtman Oct 1, 2014 46 views

• ### Unizor - Probability - Random Variables - Variance

Random variables take many different values with different probabilities. Full description of these… Zor Shekhtman Oct 1, 2014 30 views

• ### Unizor - Probability - Random Variables - Problem 1

Calculate expected value E(ξ), variance Var(ξ) and standard deviation σ(ξ) of a random variable ξ f… Zor Shekhtman Oct 1, 2014 34 views

• ### Unizor - Probability - Random Variables - Problems 2

Problem 2.1. Calculate expected value E(ξ), variance Var(ξ) and standard deviation σ(ξ) of a random… Zor Shekhtman Oct 1, 2014 22 views

• ### Unizor - Probability - Random Variables - Independence

There are a few different but equivalent approaches to define independent random variables. We will… Zor Shekhtman Oct 1, 2014 26 views

• ### Unizor - Probability - Random Variables - Variance Sum

Our goal in this lecture is to prove that variance of a sum of two independent random variables equ… Zor Shekhtman Oct 1, 2014 32 views

• ### Unizor - Algebra - Fundamental Theorem

This theorem was called "Fundamental" at the time when the most important (if not the only) purpose… Zor Shekhtman Aug 12, 2013 59 views

• ### Unizor - Algebra - Special Relativity

Assumptions: 1. Assume we have two systems of coordinates, one stationary with coordinates {X,T} (a… Zor Shekhtman Aug 12, 2013 56 views

• ### Unizor - Welcome 2013-07-31

Why do you need Unizor? How does it work? Tags: Theory, Problems Zor Shekhtman Aug 12, 2013 48 views