Math Problem Statement
(1 point) The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, Southwest Air had the best rate with 80% of its flights arriving on time. A test is conducted by randomly selecting 17 Southwest flights and observing whether they arrive on time. Find the probability that at least 4 flights arrive late.
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 ≥ 4) = 1 - P(X ≤ 3)
Theorems
Binomial Theorem
Complement Rule
Suitable Grade Level
Grades 10-12
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