Example 8.30 If a machine is set up correctly it produces 90 per cent good items; if it is incorrectly set up then it produces 10 per cent good items. Chances for a setting to be correct and incorrect are in the ratio of 7:3. After a setting is made, the first two items produced are found to be good items. What is the chance that the setting was correct?

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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Example 8.30 If a machine is set up correctly it produces 90 per cent good items; if it is incorrectly set
up then it produces 10 per cent good items. Chances for a setting to be correct and incorrect are in the
ratio of 7:3. After a setting is made, the first two items produced are found to be good items. What is the
chance that the setting was correct?
Transcribed Image Text:Example 8.30 If a machine is set up correctly it produces 90 per cent good items; if it is incorrectly set up then it produces 10 per cent good items. Chances for a setting to be correct and incorrect are in the ratio of 7:3. After a setting is made, the first two items produced are found to be good items. What is the chance that the setting was correct?
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