Answer: 0.9862
Step-by-step explanation:
Given : The probability that the chips belongs to Japan: P(J)= 0.36
The probability that the chips belongs to United States : P(U)= 1-0.36=0.64
The proportion of Japanese chips are defective : P(D|J)=0.017
The proportion of American chips are defective : P(D|U)=0.012
Using law of total probability , we have
Thus , the probability that chip is defective = 0.0138
Then , the probability that a chip is defect-free=