Answered: At the end of a day, we choose a pen at…

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

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

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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