Math Problem Statement

Give final answer for each part

Solution

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Math Problem Analysis

Mathematical Concepts

Normal Distribution
Z-scores
Binomial Distribution
Probability

Formulas

Z-score formula: z = (X - μ) / σ
Cumulative Probability from Z-table
Binomial probability formula: P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

Theorems

Properties of Normal Distribution
Binomial Theorem

Suitable Grade Level

University-level Statistics