## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Probability

Statistics

Discrete Random Variables

### Formulas

Expected Value: μ = Σ[X * P(X)]

Variance: σ² = Σ[P(X) * (X - μ)²]

Standard Deviation: σ = √σ²

### Theorems

Law of Total Expectation

Variance Formula for Discrete Random Variables

### Suitable Grade Level

University Level (Probability & Statistics)

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