At the end of a day, we choose a pen at random and we notice that it is defective. What is the probability that it comes from of the M2 machine

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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In a factory, three machines M1, M2 and M3 manufacture
pens. The M1 machine makes 1,000 in a day,
the M2 manufactures 2,000 and the M3, 3,000. We know that for the
M1, 3% of the pens manufactured are defective, for M2, 2%
are defective and for M3, 1% are defective. At the end
of a day, we choose a pen at random and we notice
that it is defective. What is the probability that it comes from
of the M2 machine? (Answer: 2/5)

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