(Solution) - Parts leaving an assembly line are examined by two inspectors -(2025 Original AI-Free Solution)

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Parts leaving an assembly line are examined by two inspectors. Each inspector detects 85% of the defective parts, and 80% of the defective parts are detected by both inspectors.
a. What is the probability that a defective part not detected by the first inspector will be detected by the second inspector?
b. What is the probability that a defective part will be detected by at least one of the inspectors?
c. A batch of output contains three defective parts. What is the probability that both inspectors will fail to detect at least one of these?