Let X₁, X₂, .
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Let X₁, X₂, . . . , X₇₂₀ be i.i.d. each with expected value μ = E(X) = 2, and variance σ² = Var(X) = 3. Approximate P(X₁ + X₂ + · · · + X₇₂₀ > 120) using the central limit theorem. For the solution, it can be assumed that P(|Z| < 2) = 0.95 where Z is a random variable that has a standard normal distribution.
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Answer: A. A) 0.95
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