Math Problem Statement
From experience, an airline knows that only 70% of the passengers booked for a certain flight actually show up. If passengers are randomly selected, find the probability that at most 5 of them show up. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.
Solution
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Math Problem Analysis
Mathematical Concepts
Binomial Distribution
Probability
Formulas
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)
P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
Theorems
Binomial Theorem
Suitable Grade Level
Grades 11-12 or College Level
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