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Key Concepts
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1. Random Variable
A real-valued function whose domain is the sample space of a random experiment.
2. Probability Distribution
A table or formula that links each outcome of a random variable with its probability of occurrence.
3. Mean and Variance
- Mean (E[X]): Σ xᵢpᵢ
- Variance (Var(X)): Σ xᵢ²pᵢ - (E[X])²
Note: The sum of all probabilities in a distribution must be 1 (Σ pᵢ = 1).