Respuesta :
A product assembled of 10 purchased components, where the defective rate of each component is 0.5%, will result in finished product quality of 95.11%.
The finished product quality can be alculated using the system reliability concept.
In this problem, consider a system of 10 independent components connected in series, required to work together for the complete assembly to work reliably. All components must work for the assembly to work successfully. let us say R1 denotes the reliability of component 1, R2 the reliability of componet 2 and so on until R10 denotes reliability of componenet 10. The reliability of the complete assembly would be calculated using:
Rsystem = R1*R2*R3*R4*R5*R6*R7*R8*R9*R10
In this case R1=R2=.....R10
Hence the above equation becomes:
Rsystem = R1^10 (This can be referrred to as equation 1)
Now as defined in the question the defect rate of each componet is 0.5%. Hence the reliability of the component can be calculated by:
R1= 1-0.5% (This can be referred as equation 2)
R1=0.995.
Using value of R1 in equation 1.
Rsystem = 0.995^10
Rsystem= 0.9511
or Rsystem = 95.11%.
Hence the answer is 95.11
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