A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are shipped in lots of $1000.$ The acceptance sampling procedure uses $20$ randomly selected crystals. a$.$ Construct operating characteristic curves for acceptance criteria of $2,3,$ and $4($to $4$ decimals$).$

$\backslash$table$[[c,p=0\mathrm{.}03,p=0\mathrm{.}07,p=0\mathrm{.}1,p=0\mathrm{.}12,p=0\mathrm{.}17$