3. The screws used in aircraft construction are slightly gathered so that they remain secure and will
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3. The screws used in aircraft construction are slightly gathered so that they remain secure and will not loosen under vibration. Assume that 95% of all bolts pass a final inspection. Of the 5% that fail, 20% of them are so defective that they are discarded. Those that are left are sent to a gathering operation and 20% must be discarded. 60% remainder is corrected with the gathering process and then pass inspection.
a) What is the probability that a randomly selected bolt will pass inspection, either at the start or after puckering again?
b) If a screw passed the inspection, what is the probability that it passed the initial inspection and didn't need to scowl again?
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