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 0.992 that it will fail the inspection. If a bottle does not have a flaw, the probability is 0.980 that it will pass the inspection. If a bottle passes inspection, what is the probability that it does not have a flaw? (Round the final answer to four decimal places.) Numeric Response

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 0.992 that it will fail the inspection. If a bottle does not have a flaw, the probability is 0.980 that it will pass
the inspection.
If a bottle passes inspection, what is the probability that it does not have a flaw? (Round the final answer to four decimal places.)
Numeric Response
Transcribed Image Text:Required information 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 0.992 that it will fail the inspection. If a bottle does not have a flaw, the probability is 0.980 that it will pass the inspection. If a bottle passes inspection, what is the probability that it does not have a flaw? (Round the final answer to four decimal places.) Numeric Response
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