An aircraft maintenance company bought an equipment for detecting structural defects in aircrafts. the equipment detects defects and give alarm when they actually exist is 95% while if gives false alarm in 1% of the tests. If 2% of the aircrafts actually have structural defects, what is the probability that an aircraft actually has a structural defect given that the equipment gives an alarm?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An aircraft maintenance company bought an equipment for detecting structural defects in aircrafts.

the equipment detects defects and give alarm when they actually exist is 95%

while if gives false alarm in 1% of the tests. If 2% of the aircrafts actually have structural defects, what is the probability that an aircraft actually has a structural defect given that the equipment gives an alarm?

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