Each computer component that the Peggos Company produces is tested twice before it is shipped. There is a 0.7 probability that a defective component will be so identified by the first test and a 0.8 probability that it will be identified as being defective by the second test. What is the probability that a defective component will not be identified as defective before it is shipped?
A)Pr(not identified) = 0.560
B)Pr(not identified) = 0.100
C)Pr(not identified) = 0.060
D)Pr(not identified) = 0.500
E)Pr(not identified) = 0.240

Question

Each computer component that the Peggos Company produces is tested twice before it is shipped. There is a 0.7 probability that a defective component will be so identified by the first test and a 0.8 probability that it will be identified as being defective by the second test. What is the probability that a defective component will not be identified as defective before it is shipped? ​
A)Pr(not identified) = 0.560
B)Pr(not identified) = 0.100
C)Pr(not identified) = 0.060
D)Pr(not identified) = 0.500
E)Pr(not identified) = 0.240

Quizplus · Accepted Answer

The probability that a defective component is identified by the first test is 0.7, so the probability that it is not identified by the first test is 0.3. If the component is not identified by the first test, it undergoes a second test. The probability that a defective component is identified by the second test is 0.8. Therefore, the probability that a defective component is not identified by either test is:
Pr(not identified) = (0.3)(0.2) = 0.06
So, the best answer is C.

Each Computer Component That the Peggos Company Produces Is Tested