Answered: What fraction of all components are…

What fraction of all components are rejected ? (b)_ What fraction of the components rejected are actually not defective? (c)_ What fraction of those not rejected are defective?

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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Question

A company produces machine components which pass through an automatic testing machine.5% of the components entering the testing machine are defective .however the machine is not entirely reliable.if a component is defective there is 4% probability that it will not be rejected .if a component is not defective there is 7% probability that it will be rejected.
(a) _ What fraction of all components are rejected ?
(b)_ What fraction of the components rejected are actually not defective?
(c)_ What fraction of those not rejected are defective?

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