In a factory, three machines A, B and C are operated to make certain parts of a device. The percentages of the parts manufactured by the machines A, B and C are 35%, 50% and 15% respectively. It is known that 8%, 5% and 16% of the parts produced by the machines A, B and C respectively are defective. If a part is randomly picked, calculate the probability that the part is from the machine A given that it is defective.

In a factory, three machines A, B and C are operated to make certain parts of a device. The percentages of the parts manufactured by the machines A, B and C are 35%, 50% and 15% respectively. It is known that 8%, 5% and 16% of the parts produced by the machines A, B and C respectively are defective. If a part is randomly picked, calculate the probability that the part is from the machine A given that it is 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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