Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution
Normal Approximation

Formulas

Mean: μ = np
Standard deviation: σ = √(np(1-p))
Z-score: Z = (X - μ) / σ
Continuity correction: X = 22.5

Theorems

Central Limit Theorem (for normal approximation of binomial distribution)

Suitable Grade Level

Grades 10-12