Design specifications require that a key dimension on a product measure $110\backslash$pm $13$ units. A process being considered for producing this product has a standard deviation of four units.

What can you say $($quantitatively$)$ regarding the process capability? Assume that the process is centered with respect to specifications.

Note: Round your answer to $4$ decimal places.

Suppose the process average shifts to $98.$ Calculate the new process capability.

Note: Round your answer to $4$ decimal places.

What is the probability of defective output after the process shift?