Problema Solution
In a certain manufacturing process, the probability of a type I defect is 0.08, the probability of a type II defect is 0.13, and the probability of having both types of defects is 0.06.
Find the probability that neither defect occurs. Whicj is it?
A. 0.94
B. 0.85
C. 0.79
D. 0.73
Answer provided by our tutors
The probability that neither defect occurs is B. 0.85.
The sum of the probabilities for the type I defect of 0.08 and the type II defect of 0.13 is 0.21, but because these defects occur together in 0.06 of the items, we subtract 0.06 from 0.21 to get 0.15. 0.15, or 15% of the items have some defect, so the probability for being defect free is 0.85.