Math Problem Statement
According to a survey, 10% of Americans are afraid to fly. Suppose 1,100 Americans are sampled.
What is the probability percentage that 121 or more Americans in the survey are afraid to fly? Round the percent to two decimal places.
What is the probability percentage that 165 or more Americans in the survey are afraid to fly? Round the percent to two decimal places.
What is the probability percentage that 8% or less of the Americans surveyed answered they were afraid to fly? Round the percent to two decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Normal Approximation
Z-scores
Formulas
Mean: μ = n * p
Standard deviation: σ = √(n * p * (1 - p))
Z-score formula: z = (X - μ) / σ
Theorems
Central Limit Theorem
Normal Approximation to the Binomial Distribution
Suitable Grade Level
Grades 11-12 (High School Probability and Statistics)
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