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ptlnguyen
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Homework Statement
A machine will be repaired if it produces 5% defected items and won't need repair if the defected items are less than 1%. 50 samples items are tested. If defected items are greater than 0.02, the machine will be repaired, other wise the machine will continue operating.
Homework Equations
(a) What is the probability that a machine will be overhauled unnecessarily?
(b) What is the probability that a machin in need of overhauling will be left in operation?
The Attempt at a Solution
This is my attemp but not sure if it is correct. Please help
Machine needs to be overhaul if >=5% of items are defected
Since only >=0.02 or 2% defected items and the machine will be overhaul, then the difference is: 5% - 2% = 3% . Therefore, the probability that a machine will be overhauled unnecessarily is .003. Am I correct.
Thank you much