Math Problem Statement
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color red. If 18 buyers are randomly selected, what is the probability that at least 3 buyers would prefer red? Round your answer to four decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Binomial Distribution
Formulas
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))
Theorems
Binomial Theorem
Complement Rule in Probability
Suitable Grade Level
Grades 10-12
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