Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Poisson Distribution
Normal Approximation
Z-Score
Formulas
Expected value of X̄: E(X̄) = λ
Standard deviation of X̄: σX̄ = σ / √n = √λ / √n
Z-score: Z = (X̄ - λ) / σX̄
Theorems
Central Limit Theorem
Poisson Distribution
Normal Distribution Approximation
Suitable Grade Level
Undergraduate - Statistics
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