Math Problem Statement
According to a recent DMV’s data, about 65% of the applicants can pass a driver’s proficiency road test. If you collect a random sample of 12 applicants, find the probability that exactly 7 applicants will pass.
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)
Binomial coefficient: C(n, k) = n! / (k!(n - k)!)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 10-12
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