Three machines I, II and III manufacture 30%, 30% and 40%, respectively, of the total output of certain items. Of them, 4%, 3% and 2%, respectively, are defec- tive. One item is drawn at random, tested and found to be defective. What is the probability that the item was manufactured by each one of the machines I, II and III?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Three machines I, II and III manufacture 30%, 30% and 40%, respectively, of the
total output of certain items. Of them, 4%, 3% and 2%, respectively, are defec-
tive. One item is drawn at random, tested and found to be defective. What is the
probability that the item was manufactured by each one of the machines I, II and
III?
Transcribed Image Text:Three machines I, II and III manufacture 30%, 30% and 40%, respectively, of the total output of certain items. Of them, 4%, 3% and 2%, respectively, are defec- tive. One item is drawn at random, tested and found to be defective. What is the probability that the item was manufactured by each one of the machines I, II and III?
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