Random Variable
A function that assigns numerical values to the outcomes of a random experiment. Discrete random variables take specific values (usually integers); continuous random variables can take any value in an interval.
Real World
The number of goals scored by Manchester City in a randomly selected Premier League match is a discrete random variable — it can only take whole-number values such as 0, 1, 2, 3.
Exam Focus
Confirm whether a variable is discrete or continuous before choosing a distribution; state your reasoning explicitly.
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