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Answer :
Yesterday, the machine was able to produce 737 parts that had no error.
First find the number of hours the machine was operational the previous day:
= 24 hours - 5 hours for maintenance
= 19 hours operational
In that time, the machine would have produced:
= Number of hours operational x Parts produced per hour
= 19 x 40
= 760 parts
The machine has an error rate of 3 parts out of 100 which means that it produces 97 parts out of 100, error free. The number of parts it most likely produced error-free is:
= Number of parts produced x Proportion produced error-free
= 760 x 97/100
= 737.2
= 737 parts
We can conclude that the machine produced 737 error-free parts.
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