Notes - Probability MT22, Random variables

Created: June 21, 2023

Can you state the definition for a discrete random variable, and then the definition of just a random variable?

$X$ is a discrete random variable if

$\text{Im}(X)$ is a finite or countable subset of $\mathbb R$
$\forall x \in \text{Im}(X), \{\omega : X(\omega) = x\} \in \mathcal F$ $X$ is a random variable if

[[Course - Probability MT22]]^U

(outgoing)
[[Lecture - Probability MT22, IV]]^U

(sim: 0.624)
[[Notes - Probability MT22, Chapter 2]]^U

(sim: 0.571)
[[Stats - Statistical Distributions]]^A

(sim: 0.54)
[[Notes - Probability MT22, Axioms of probability space]]^U

(sim: 0.528)
[[Lecture - Probability MT22, XIII]]^U

(sim: 0.5)