An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective? Choose the correct choice from the following answers
A) 0.8647	B) 0.8642	C) 0.8645	D) 0.8628	E) 0.8612
Ans: Probability that the part X is nondefective is = 1 - 9/100= 
<gadget id="calculator">1 - 9/100</gadget>
<output>91/100 = around 0.91</output>
.91   Probablity that the part Y is nondefective is= 1 - 5/100= 
<gadget id="calculator">1 - 5/100</gadget>
<output>19/20 = around 0.95</output>
.95   so, Probablity of nondefective product=0.91××0.95=0.8645   Answer:0.8645
<result>C</result>
An article manufactured by a company consists of two parts X and Y. In the process of manufacturing of part X, 9 out 100 parts many be defective. Similarly , 5 out of 100 are likely to be defective in the manufacturer of Y. Calculate the probability that the assembled product will not be defective?