A product is processed through three units ,i.e Unit I , Unit II, Unit III where 60%,30% and 10% work is completed. Defects occurring during processing while in Unit I, Unit II, Unit III are 5%,20% and 35% respectively. What is the probability that the product is defectless.
Answers
Given : A product is processed through three units
,i.e Unit I , Unit II, Unit III where 60%,30% and 10% work is completed. Defects occurring during processing while in Unit I, Unit II, Unit III are 5%,20% and 35% respectively.
To Find : the probability that the product is defect less.
Solution:
Defects occurring during processing while in Unit I, = 5 % = 0.05
no defect in Unit I = 1- 0.05 = 0.95
Defects occurring during processing while in Unit II, = 20 % = 0.2
no defect in Unit II = 1- 0.2 = 0.8
Defects occurring during processing while in Unit III, = 20 % = 0.2
no defect in Unit III = 1- 0.35 = 0.65
probability that the product is defect less. = (0.95)(0.8)(0.65) = 0.494
= 49.4 %
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