A key joint in a precision machining process has a lower specification limit of a width of $0\mathrm{.}98$ mm and an upper specification limit of $1\mathrm{.}02$ mm $.$ The standard deviation is $0\mathrm{.}02$ mm and the mean is $1$ mm $.$ What is the process capability index for the precision machining process? Based on the capability index, what should be carried out next?

$2$; The process is capable of meeting the requirements, and a comprehensive review of the entire process is needed to identify areas for improvement and further reduce the variation

$0\mathrm{.}33$; The process is not capable of meeting the requirements, and a comprehensive review of the entire process is needed to identify areas for improvement and further reduce the variation.

$2$; The process is capable of meeting the requirements, and no further action is required

$0\mathrm{.}33$; The process is not capable of meeting the requirements, and no further action is required