Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Normal Approximation
Central Limit Theorem
Formulas
Binomial distribution: X ~ Binomial(n, p)
Normal approximation: Z = (X - μ) / σ
Mean: μ = np
Variance: σ^2 = np(1 - p)
Standard deviation: σ = √(np(1 - p))
Theorems
Central Limit Theorem
Suitable Grade Level
Undergraduate Statistics/Probability
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