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A quality-control program at a plastic bottle production line involves inspecting finished bottles for flaws such as microscopic holes. The proportion of bottles that actually have such a flaw is only 0.0002 . If a bottle has a flaw, the probability is 0.995 that it will fail the inspection. If a bottle does not have a flaw, the probability is 0.950 that it will pass the inspection.
If a bottle fails inspection, what is the probability that it has a flaw? (Round the final answer to four decimal places.)
Numeric Response
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