Two machines turn out all the products in a factory, with the first machine producing 30% of the product and the second machine producing the rest. The first machine produces defective products 3% of the time and the second machine 4% of the time. What is the probability that a part made in this factory is not defective?  (Enter answer as a decimal with at least 4 correct decimal places)

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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Two machines turn out all the products in a factory, with the first machine producing 30% of the product and the second machine producing the rest. The first machine produces defective products 3% of the time and the second machine 4% of the time. What is the probability that a part made in this factory is not defective?  (Enter answer as a decimal with at least 4 correct decimal places)

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It is given that, the first machine produces 30% of the product and the second machine produces the rest.

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