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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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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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