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Illustration 16.20. If a machine is correctly set up, it will produce 90% acceptable items. If it is incorrectly set up, it will produce only 40% acceptable items. Experience shows that the 70% of the setups are correctly done. Find the probability that a setup has been correctly done if refer the setup (i) the first item produced is accepted; (ii) the first two items produced are both acceptable; and (iii) the first three items produced are acceptable, acceptable and unacceptable, respec- tively.

Illustration 16.20. If a machine is correctly set up, it will produce 90% acceptable items. If it is incorrectly set up, it will produce only 40% acceptable items. Experience shows that the 70% of the setups are correctly done. Find the probability that a setup has been correctly done if refer the setup (i) the first item produced is accepted; (ii) the first two items produced are both acceptable; and (iii) the first three items produced are acceptable, acceptable and unacceptable, respec- tively.

A First Course in Probability (10th Edition)
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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Illustration 16.20. If a machine is correctly set up, it will produce 90% acceptable items. If it is incorrectly set up, it will produce only 40% acceptable items. Experience shows that the 70% of the setups are correctly done. Find the probability that a setup has been correctly done if refer the setup (i) the first item produced is accepted; (ii) the first two items produced are both acceptable; and (iii) the first three items produced are acceptable, acceptable and unacceptable, respec- tively. CS Scanned with CamScanner
Transcribed Image Text:Illustration 16.20. If a machine is correctly set up, it will produce 90% acceptable items. If it is incorrectly set up, it will produce only 40% acceptable items. Experience shows that the 70% of the setups are correctly done. Find the probability that a setup has been correctly done if refer the setup (i) the first item produced is accepted; (ii) the first two items produced are both acceptable; and (iii) the first three items produced are acceptable, acceptable and unacceptable, respec- tively. CS Scanned with CamScanner
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