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
Algebra ->
Probability-and-statistics
-> 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
Log On
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
:
