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.
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(X∩Y)
=P(X)P(Y)