🟪 1-Minute Summary

A random variable is a variable whose values are determined by chance. Discrete random variables take countable values (e.g., number of customers, dice rolls), while continuous random variables can take any value within a range (e.g., height, temperature). This distinction determines which probability distributions and statistical methods you use.


🟦 Core Notes (Must-Know)

What is a Random Variable?

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Discrete Random Variables

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Continuous Random Variables

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Key Differences

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🟨 Interview Triggers (What Interviewers Actually Test)

Common Interview Questions

  1. “Is this variable discrete or continuous: number of website visits per day?”

    • [Answer: Discrete - countable]
  2. “Why does the distinction between discrete and continuous matter?”

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🟥 Common Mistakes (Traps to Avoid)

Mistake 1: Treating continuous variables as discrete

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🟩 Mini Example (Quick Application)

Scenario

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Solution

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