Q. 165.0( 3 Votes )

An article manufactured by a company consists of two parts X and Y. In the process of manufacture of the part X, 9 out of 100 parts may be defective. Similarly, 5 out of 100 are likely to be defective in the manufacture of part Y. Calculate the probability that the assembled product will not be defective.

Answer :

Given,


An article manufactured by a company consists of two parts X and Y.


Part X has 9 out of 100 defective


That is, Part X has 91 out of 100 non defective


Part Y has 5 out of 100 defective


That is, Part Y has 95 out of 100 non defective


Consider,


X=a non defective part of X


Y=a non defective part of Y



P(assembled product will not be defective)


P(neither X defective nor Y defective)


=P(XY)


=P(X)P(Y)



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