Wire manufactured by a company is tested for strength. The test gives a correct positive result with a probability of 0.85 when the wire is strong, but gives an incorrect positive result (false positive) with a probability of 0.04 when in fact the wire is not strong. If 98% of the wires are strong, and a wire chosen at random fails the test, what is the probability it really is not strong enough? * Please solve using Bayes' Theorem and explain completely. Thanks.

Wire manufactured by a company is tested for strength. The test gives a correct positive result with a probability of 0.85 when the wire is strong, but gives an incorrect positive result (false positive) with a probability of 0.04 when in fact the wire is not strong. If 98% of the wires are strong, and a wire chosen at random fails the test, what is the probability it really is not strong enough? * Please solve using Bayes' Theorem and explain completely. Thanks.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

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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