In a factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily output. 2% of machine X's output is defective, and 1.5% of machine Y's output is defective. One day, an item was inspected at random and found to be defective. What is the probability that it was produced by machine X?

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 factory, machine X produces 60% of the daily output and machine Y produces 40% of the daily output. 2% of machine X's output is defective, and 1.5% of machine Y's output is defective. One day, an item was inspected at random and found to be defective. What is the probability that it was produced by machine X? 

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