$9\mathrm{.}9$ An engineer sets the pressure in a supply tank using a very accurate manometer as a guide and then reads the output of a $20-$psig pressure gauge attached to the tank as $10\mathrm{.}2$ psig. Sometime later she repeats the procedure and obtains values of $10\mathrm{.}4$ and $10\mathrm{.}3$ psig. Discuss the following gauge properties:

$($a$)$ Precision

$($b$)$ Accuracy

$($c$)$ Resolution

$($d$)$ Repeatability

Express these answers on a percentage of full$-$scale basis.