A random variable X is a function that maps outcomes from a sample space Ω to real numbers. While each outcome ω determines a unique real number value for X, the outcomes themselves are random. Therefore, the values of X for different outcomes are random.

1. What’s Random
variable ?
Hanpen Robot

2. Definition of Random variable
𝑋: Ω → ℝ
Where Ω is Sample space ,
ℝ is Real number field.

3. Random variable 𝑋 𝜔 is
function.
Therefore 𝑿 𝝎 is
determinate !

7. Hey!
Where gone a randomness!

8. Ω
? ⇒ 𝑋 ? =? ? ?