Math Problem Statement
A company receives a very large shipment of components. A random sample of 20 of these components will be checked, and the shipment will be accepted if fewer than 2 of these components are defective. What is the probability of accepting a shipment containing 5% defectives?
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 < 2) = P(X = 0) + P(X = 1)
Theorems
Binomial Theorem
Suitable Grade Level
College/Advanced High School
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