Probability Theory, Exercise, Solutions, Mathematics.
of X is calculated as Σ((x_i — μ)² × P(x_i)), where μ is the expected value of X, and P(x_i) is the probability of x_i. The calculation yields a variance of (1/6)[(1–3.5)² + (2–3.5)² + (3–3.5)² + (4–3.5)² + (5–3.5)² + (6–3.5)²] ≈ 2.917. 3. From a risk management perspective, if a player prefers