SOLUTION: In a factory producing disk drives for computers, there are three machines that work independently to produce one of the components. In any production process, machines are not 100

Question 1117590: In a factory producing disk drives for computers, there are three machines that work independently to produce one of the components. In any production process, machines are not 100% fault free. The production after one �run� from these machines is listed below.
Machine I - Defective: 6 Non-defective: 120
Machine II - Defective: 4 Non-defective: 80
Machine III - Defective: 10 Non-defective: 150
(a) A component is chosen at random from the produced lot. Find the probability that the chosen component is:
(i) from machine I (I think this might be 126/370?)
(ii) a defective component from machine II (80/370?)
(iii) non-defective or from machine I (??)
(iv) from machine I given that it is defective (??)
(b) Is the quality of the component dependent on the machine used? (How would I work this out??)
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
There are 370 components produced by the three machines
:
a.i) (6+120)/370 = 126/370
:
a.ii) 4/370
:
a.iii) 350/370 + 126/370 - 120/370 = 356/370
:
a.iv) 6/20
:
b) Machine I non-defective = 120/370, Machine II non-defective = 80/370, Machine III non-defective = 150/370, therefore Machine III has a higher probability of producing a non-defective part
:

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