A machine is used in a production process. From past data, it is known that 97%
ID: 3206114 • Letter: A
Question
A machine is used in a production process. From past data, it is known that 97% of the time the machine is set up correctly. Furthermore, it is known that if the machine is set up correctly, it produces 95% acceptable (non-defective) items. However, when it is set up incorrectly, it produces only 40% acceptable items. a. An item from the production line is selected. What is the probability that the selected item is non-defective? b. Given that the selected item is non-defective, what is the probability that the machine is set up correctly?
Explanation / Answer
Non- Defective
Defective
Total
Setup Corr
0.9215
0.0485
0.97
Setup Incorr
0.012
0.018
0.03
Total
0.9335
0.0665
1
a)
0.9335/1=0.9335
b)
0.9215/0.9335=0.9871
Non- Defective
Defective
Total
Setup Corr
0.9215
0.0485
0.97
Setup Incorr
0.012
0.018
0.03
Total
0.9335
0.0665
1
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