Probability of defective parts
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Probability of defective parts

[From: ] [author: ] [Date: 13-03-03] [Hit: ]
I got P(defective)=.3660.If a part is defective, what is the probability that the part came from Brazil?For this, I got P(Brazil | defective)=.......
Future Industries makes robots for companies all over the world. Future gets the parts from one of two suppliers, one in Spain and one in Brazil. Future gets 60% of it's parts from Spain. Of those parts it gets from Spain, 99% of them are not defective. Of those parts from Brazil, 90% of them are defective.

What is the probability of getting a defective part, no matter the supplier?
I got P(defective)=.3660.

If a part is defective, what is the probability that the part came from Brazil?
For this, I got P(Brazil | defective)=.9836

For these questions, the aforementioned answers were not listed as possible answer choices.
I'm not sure if I misinterpreted the question correctly.
If anybody could clarify, it would be much appreciated.

-
Hopeless

Once again your calculations are flawless!

1) P(defective) = (0.60)(0.01) + (0.40)(0.90) = 183/500 = 0.366

2) P(Brazil | defective) = (0.40)(0.90) / 0.366 = 60/61 = 0.9836

Looks like your instructor might have handed out an old answer key from a prior edition of the book?

Hope that helps
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