Q3/ Three machines A, B and C produce respectively 60%, 30% and 10% of the total number of items of a factory. The percentages of defective output of these machines are respectively 2%, 3% and 4%. An item is selected at random and is found defective. Find the probability that the item was produced by machine C.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 49E
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Q3/ Three machines A, B and C produce respectively 60%, 30% and 10% of
the total number of items of a factory. The percentages of defective output of
these machines are respectively 2%, 3% and 4%. An item is selected at
random and is found defective. Find the probability that the item was produced
by machine C.
Transcribed Image Text:Q3/ Three machines A, B and C produce respectively 60%, 30% and 10% of the total number of items of a factory. The percentages of defective output of these machines are respectively 2%, 3% and 4%. An item is selected at random and is found defective. Find the probability that the item was produced by machine C.
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