SOLUTION: the question is from the book fundamentals of quality control and improvement by amitava mitra chapter 4 , the settling of unwanted material in mold is causing some defects in th

Question 417737: the question is from the book fundamentals of quality control and improvement by amitava mitra chapter 4 ,
the settling of unwanted material in mold is causing some defects in the output , based on the recent data it is found that 5% of the out put has one or more defects . in spot checking some parts , inspector randomly selects two parts find the probabilities that
a. the first part is defect free
b. the second part is defect free
c. both parts are defect free
d. one of the parts is acceptable
e. at least one part is acceptable
i have read the chapter but could not really get much into this type of problem , any help or idea/advise would be appreciated i was also looking for the manual of the book but could not find if any body has it plz provide
regards
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
based on the recent data it is found that 5% of the out put has one or more defects . in spot checking some parts , inspector randomly selects two parts find the probabilities that
Sample space: D means defective; N means not defective
DD,DN,ND,NN
a. the first part is defect free::0.95*0.05 + 0.95*0.95 = 0.95
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b. the second part is defect free::same as above: 0.95
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c. both parts are defect free: 0.95^2 = 0.9025
-------------------------------------------------
d. one of the parts is acceptable::2(0.05*0.95) = 0.095
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e. at least one part is acceptable:: 1-(0.05)^2 = 0.9975
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Cheers,
Stan H.

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