The smallest defect in a computer chip will render the entire chip worthless. Therefore, tight quality control measures must be established to monitor these chips. In the past, the percentage defective at a California$-$based company has been $1\mathrm{.}1\%.$ The sample size is $1,000.$ Determine upper and lower control chart limits for these computer chips. Use $z=2.$

a$.$ What is the p$-$bar?

b$.$ What is the standard deviation of $p$

b$.$ What are the Upper and Lower control limits$?$