The design specifications of an aerosol can call for an average of $47\mathrm{.}5$ pounds per square inch$($psi$)$ of pressure in each can with an upper specification limit of $52$ psi and a lower specification limit of $43$psi. A sample is taken from production and it is found that thecans average $49$psiwith a process standard deviation of $3$psi. The capability of process and the probability of producing a defect are respectively:

a$.0\mathrm{.}3333$ and $0\mathrm{.}181$

b$.-2$ and $0\mathrm{.}0228$

c$.1$ and $0\mathrm{.}0241$

d$.0\mathrm{.}6667$ and $0\mathrm{.}024$