Two machines turn out all the products in a factory, with the first machine producing 25% of the product and the second 75%. The first machine produces defective products 4% of the time and the second machine 7% of the time. (a) What is the probability that a defective part is produced this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory?
Two machines turn out all the products in a factory, with the first machine producing 25% of the product and the second 75%. The first machine produces defective products 4% of the time and the second machine 7% of the time. (a) What is the probability that a defective part is produced this factory given that it was made on the first machine? (b) What is the probability that a defective part is produced at this factory?
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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Step 1
Given:
- Probability of first machine production is, .
- Probability of defective products of first machine is, .
- Probability of second machine production is, .
- Probability of defective products of second machine is, .
Objective:
- To find the probability that a defective part is produced at this factory given that it is made on the first machine.
- To find the probability that a defective part is produced at this factory.
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