Math Problem Statement
Forty-five percent of consumers say it is important that the clothing they buy is made without child labor. You randomly select 17 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 five, (b) at least ten, and (c) less than twelve. Question content area bottom Part 1 (a) The probability that the number of consumers who say it is important that the clothing they buy is made without child labor is exactly five is Upper P left parenthesis exactly five right parenthesisequals enter your response here. (Round to three decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Statistics
Formulas
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
Binomial Coefficient: \binom{n}{k} = \frac{n!}{k!(n-k)!}
Theorems
Binomial Theorem
Law of Large Numbers
Suitable Grade Level
Grades 11-12
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