A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is functioning correctly, which is 90% of the time, 10% of all bulbs produced are defective. However, the process is susceptible to an occasional malfunction, leading to a defective rate of 30%. If a defective bulb is found, what is the probability that the process is functioning correctly? If a nondefective bulb is found, what is the probability that the process is operating correctly? If a defective bulb is found, the probability that the process is functioning correctly is (Round to three decimal places as needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is functioning
correctly, which is 90% of the time, 10% of all bulbs produced are defective. However, the process is susceptible to an occasional
malfunction, leading to a defective rate of 30%. If a defective bulb is found, what is the probability that the process is functioning
correctly? If a nondefective bulb is found, what is the probability that the process is operating correctly?
...
If a defective bulb is found, the probability that the process is functioning correctly is
(Round to three decimal places as needed.)
Transcribed Image Text:A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is functioning correctly, which is 90% of the time, 10% of all bulbs produced are defective. However, the process is susceptible to an occasional malfunction, leading to a defective rate of 30%. If a defective bulb is found, what is the probability that the process is functioning correctly? If a nondefective bulb is found, what is the probability that the process is operating correctly? ... If a defective bulb is found, the probability that the process is functioning correctly is (Round to three decimal places as needed.)
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