Additional Algo $9-2$ Process Capability Index

A cutting process has an upper specification of $2\mathrm{.}019$ millimeters and a lower specification of $1\mathrm{.}862$ millimeters. A sample of parts had a mean of $1\mathrm{.}96$ millimeters with a standard deviaiton of $0\mathrm{.}031$ millimeters.

What is the probability of a defect for this system?

Note: Round your answer to $5$ decimal places.

Probability