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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$[[c,p=0\mathrm{.}02,p=0\mathrm{.}06,p=0\mathrm{.}09,p=0\mathrm{.}11,p=0\mathrm{.}16$