When correctly adjusted, a machine that makes widgets operates with a 5% defective rate. However, there is a 10% chance that a disgruntled employee shakes the machine, in which case the defective rate jumps up to 30%. Suppose that a widget made by this machine is selected at random and is found to be defective. What is the probability that the machine had been shaken? (a)

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24
When correctly adjusted, a machine that makes widgets operates with a 5% defective rate.
However, there is a 10% chance that a disgruntled employee shakes the machine, in which
case the defective rate jumps up to 30%.
(a)
Suppose that a widget made by this machine is selected at random and is found to
be defective. What is the probability that the machine had been shaken?
Transcribed Image Text:24 When correctly adjusted, a machine that makes widgets operates with a 5% defective rate. However, there is a 10% chance that a disgruntled employee shakes the machine, in which case the defective rate jumps up to 30%. (a) Suppose that a widget made by this machine is selected at random and is found to be defective. What is the probability that the machine had been shaken?
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