6. A certain company is ordering small parts shipped in large bins from two different suppliers: supplier A and B. We know from history that 2.5% of the pa supplied by A are defective while 5% of the parts supplied by B are defective.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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6. A certain company is ordering small parts shipped in large bins from two
different suppliers: supplier A and B. We know from history that 2.5% of the parts
supplied by A are defective while 5% of the parts supplied by B are defective.
Moreover, A supplies 3 times as many parts as B. If an employee randomly selects
a bin and a part inside that bin, what is the probability that the part came from
supplier a given that it is defective?
Transcribed Image Text:6. A certain company is ordering small parts shipped in large bins from two different suppliers: supplier A and B. We know from history that 2.5% of the parts supplied by A are defective while 5% of the parts supplied by B are defective. Moreover, A supplies 3 times as many parts as B. If an employee randomly selects a bin and a part inside that bin, what is the probability that the part came from supplier a given that it is defective?
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