Nov 21, 2023 · Understand what is a random variable and why it is used. Learn about the types of random variables and see examples of the random variables from...

An uppercase letter is usually for a random variables which is a function on events with a real number as its return value. A lowercase letter is for a realization of a random variable, which is …

Often, in the course of my (self-)study of statistics, I've met the terminology "$\\sigma$-algebra generated by a random variable". I don't understand the definition on Wikipedia, but most …

Mar 27, 2018 · 17 A random variable is nothing more or less than a function on a probability space with values in $ {\mathbf R}$. First we need to be clear about what a probability space …

A random variable's set of values is the sample space. It then takes the example of throwing a dice, and states that the sample space is $\ {1, 2, 3, 4, 5, 6\}$.

Learn how to calculate the standard deviation of a discrete random variable, and see examples that walk through sample problems step-by-step for you to improve your statistics knowledge …

Aug 28, 2020 · 20 I've already seen this question but it didn't help . So I'm going over regression models (simple linear regression mainly) in my statistics text book and there's a lot of …

Mar 3, 2019 · What does conditioning on a random variable mean? For example: in p(X|Y), X and Y are the random variables, so does the conditioning on Y mean Y is fixed (or non-random)?

The definition is as following according to the book of John B. Walsh, Let $(\\Omega, \\mathbb{F}, P)$ be a probability space. A Random Variable is a real-valued function X on $\\Omega$ such …

Random Variables – A random variable is a process, which when followed, will result in a numeric output. The set of possible outputs is called the support, or sample space, of the random variable.