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

Question

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?

Answer 1

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%.