A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is functioning correctly, which is 80% 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? (Round to three decimal places as needed)

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