
Answer-first summary for fast verification
Answer: 0.03.
The variance of a random variable is the probability-weighted average of squared deviations from its expected value. Here, each scenario has an equal probability of 1/3. The expected value (E(X)) is calculated as (2.0 + 2.2 + 2.4)/3 = 2.2. The variance is then computed as [(2.0 - 2.2)² + (2.2 - 2.2)² + (2.4 - 2.2)²]/3 = [0.04 + 0 + 0.04]/3 = 0.08/3 ≈ 0.0267, which rounds to 0.03. Option B represents the standard deviation (the square root of variance), and Option C is the difference between the EPS values, not the variance.
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