Company A provides a critical manufacturing part 10% of the time, Company B provides the same part 50% of the time and Company C provides the part the rest of the time. There is a 10% chance of the part being defective if provided by Company A a 30% chance of the part being defective if provided by Company B, and a 50% chance of the part being defective

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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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Company A provides a critical manufacturing part 10% of the time, Company B provides the same
part 50% of the time and Company C provides the part the rest of the time.
There is a 10% chance of the part being defective if provided by Company A
a 30% chance of the
part being defective if provided by Company B, and a 50% chance of the part being defective if
provided by Company C

What is the probability of the part being defective?

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