[6] A machine is used in a production process. From past data, it is knownthat 97% of the time the machine is set up correctly. Furthermore, it isknown that if the machine is set up correctly, it produces 95% acceptable(non-defective) items. However, when it is set up incorrectly, it producesonly 40% acceptable items.Show using probabilities that whether the machine producesacceptable items is dependent on whether the machine is set upcorrectly.а.b.An item from the production line is selected. What is the probabilitythat the selected item is acceptable?Given that the selected item is acceptable, what is the probability thatthe machine is set up correctly?с.

Here use probability tree and Bayes rule

Answered: Show using probabilities that whether…

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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