In a certain assembly plant, three machines A1, A2, and A3 make 30%, 45% and 25% respectively, of the product. Its known from past experience that 3%, 2%, and 4% of the product made by each machine, respectively are defective. If the selected product is defective, what is the probability that it was made by machine A1?

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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In a certain assembly plant, three machines A1, A2, and A3 make 30%, 45% and 25% respectively, of the product. Its
known from past experience that 3%, 2%, and 4% of the product made by each machine, respectively are defective. If
the selected product is defective, what is the probability that it was made by machine A1?
Select one:
O a. 0.3214
O b.0.14
O c. 0.3142
O d. 0.028
Transcribed Image Text:In a certain assembly plant, three machines A1, A2, and A3 make 30%, 45% and 25% respectively, of the product. Its known from past experience that 3%, 2%, and 4% of the product made by each machine, respectively are defective. If the selected product is defective, what is the probability that it was made by machine A1? Select one: O a. 0.3214 O b.0.14 O c. 0.3142 O d. 0.028
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