Random Variables (HSC SSCE Mathematics Advanced): Flashcards
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Random variable definition
Random variable definition
Variable linking random process outcomes to numerical values
Notation: capitals vs lowercase for random variables
Notation: capitals vs lowercase for random variables
Capitals (, ) for variables; lowercase () for values
Sample space
Sample space
Set of all possible outcomes of an experiment
Discrete random variable
Discrete random variable
Variable with countable, specific values that can be listed
Continuous random variable
Continuous random variable
Variable taking any value within an interval or range
Key difference: discrete vs continuous
Key difference: discrete vs continuous
Discrete: countable values; Continuous: any value in interval
What discrete variables represent
What discrete variables represent
Things you can count (e.g., students, goals)
What continuous variables represent
What continuous variables represent
Measurements (e.g., height, time, temperature)
Example of discrete random variable
Example of discrete random variable
Number of heads flipping coins:
Example of continuous random variable
Example of continuous random variable
Time to complete task (any positive real number)
