- #1

ptlnguyen

- 5

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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