Math Problem Statement
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Part 1
Forty-five percent of consumers say it is important that the clothing they buy is made without child labor. You randomly select 16 consumers. Find the probability that the number of consumers who say it is important that the clothing they buy is made without child labor is (a) exactly seven (b) at least eleven,
and (c) less than twelve.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
P(X ≥ k) = Σ P(X = i) for i = k to n
P(X < k) = Σ P(X = i) for i = 0 to k - 1
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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