Random Variables (HSC SSCE Mathematics Advanced): Flashcards

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Random Variables
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Random variable definition

Variable linking random process outcomes to numerical values

Notation: capitals vs lowercase for random variables

Capitals (XX, YY) for variables; lowercase (x=3x=3) for values

Sample space

Set of all possible outcomes of an experiment

Discrete random variable

Variable with countable, specific values that can be listed

Continuous random variable

Variable taking any value within an interval or range

Key difference: discrete vs continuous

Discrete: countable values; Continuous: any value in interval

What discrete variables represent

Things you can count (e.g., students, goals)

What continuous variables represent

Measurements (e.g., height, time, temperature)

Example of discrete random variable

Number of heads flipping coins: X=0,1,2X = 0, 1, 2

Example of continuous random variable

Time to complete task (any positive real number)

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