Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Normal Approximation
Binomial Distribution
Probability Theory

Formulas

np ≥ 10 and n(1 - p) ≥ 10 (conditions for normal approximation)
z = (x - μ) / σ (z-score calculation)

Theorems

Central Limit Theorem (basis for normal approximation)

Suitable Grade Level

Grades 11-12 (Advanced high school) or college level