A certain security system contains 12 parts. Suppose that the probability that each individual part will fail is 0.3 and that the parts fail independently of each other. Given that at least two of the parts have failed, compute the probability that at least three of the parts have failed?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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3.(b) A certain security system contains 12 parts. Suppose that the probability that each individual
part will fail is 0.3 and that the parts fail independently of each other. Given that at least two of
the parts have failed, compute the probability that at least three of the parts have failed?

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