5. (12 points) The mean time to mill a single part in a metal fabrication facili

Question

5. (12 points) The mean time to mill a single part in a metal fabrication facility is 6 minutes with a standard deviation of 1.3 minutes. Parts are typically manufactured in a batch of 50 parts. uppose times to failure on the machine are exponentially distributed with a mean of 100 ho and the repair time is also exponentially distributed with a mean of 4 hours ours a. (6 points) What is the natural coefficient of variation? (6 points) Ignoring the downtime effects and assuming the process times are independent what will be the mean and variance of the batch of 50 parts? What is the coefficient of variation? b.

Explanation / Answer

a. coefficient of variation

= ( standard deviation / mean ) * 100 %

= (1.3/6)*100 %

=0.216667 * 100 %

= 21.6667%

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