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Random Variable Calculator

Online random variable check: verify pᵢ≥0 and Σpᵢ=1.

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Discrete: pᵢ≥0, Σpᵢ=1
Value
Probability

📖 Tutorial | Random Variable

1. Definition
A random variable quantifies outcomes; a discrete distribution table has pᵢ≥0 and Σpᵢ=1.
2. Formula & Notation
X,pVariable, probability
3. Properties & Laws
  • Non-negative;
  • Sums to 1;
  • Discrete is countable;
  • Continuous over intervals.
4. Steps
  1. Enter values and probabilities;
  2. Click "Check";
  3. Or click "Load Example".
5. Worked Examples
Example: (1,.2)(2,.3)(3,.5): valid.
6. Common Pitfalls
Probabilities must sum to 1;
Non-negative;
Include all values.

❓ FAQ | Random Variable

Random variable?
Quantified outcomes.
Discrete vs continuous?
Countable.
Properties?
Non-negative, sum 1.
Vs function?
Sample-space domain.
Example?
Valid.
Wrong sum?
Invalid.