A random sample of 20 widgets was examined, 4 widgets out of these 20 are found to be defective. What is the probability that the machine had been shaken? Hint: What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has been shaken? What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has not been shaken? (b)

Microsoft Visual C#
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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%.
Q4
Transcribed Image Text: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%. Q4
(b)
A random sample of 20 widgets was examined, 4 widgets out of these 20 are
found to be defective. What is the probability that the machine had been shaken?
Hint: What is the probability of finding 4 defective widgets in a sample of 20, if
(given) the machine has been shaken?
What is the probability of finding 4 defective widgets in a sample of 20, if (given)
the machine has not been shaken?
Transcribed Image Text:(b) A random sample of 20 widgets was examined, 4 widgets out of these 20 are found to be defective. What is the probability that the machine had been shaken? Hint: What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has been shaken? What is the probability of finding 4 defective widgets in a sample of 20, if (given) the machine has not been shaken?
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