Problem $13-6($Algo$)$

C$-$Spec, Inc., is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of $2+-0\mathrm{.}005$ inches. After a trial run on this machine, C$-$Spec has determined that the machine has a sample mean of $2\mathrm{.}004$ inches with a standard deviation of $0\mathrm{.}020$ inch.

Calculate the $C_{pk}$ for this machine. $($Round your answer to $3$ decimal places.$)$

Cpk