# Answer to Question #10004 in Statistics and Probability for Raghav Agrawal

Question #10004

An inspector examines items coming from an assembly line. A review of his record reveals that he accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective?

Expert's answer

From the condition we get that 1%_of_all_items=8%_of_defective_items, so

defective_items=(1/8)_of_all_items=12.5%. So the probability of randomly

selected unit being defective equals 12.5%.

defective_items=(1/8)_of_all_items=12.5%. So the probability of randomly

selected unit being defective equals 12.5%.

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