A department chair wants to monitor the percentage of failing students in classes in her department. Each class had an enrollment of $50$ students last spring. The number of failing students in the $10$ classes offered that term were $1,4,2,0,0,0,0,0,0,$ and $3,$ respectively. Using a $95\%$ confidence level $($the $z-$value $=1\mathrm{.}96)$ what are the upper and lower level p chart limits$?$

$0\mathrm{.}0589$ and $0\mathrm{.}0189$

$0\mathrm{.}0598$ and $0\mathrm{.}0198$

$0\mathrm{.}0520$ and $0\mathrm{.}0201$

$0\mathrm{.}0602$ and $0\mathrm{.}0200$

$2.$

The percent defective from an incoming lot is $3\%.$ The probability of acceptance is $0\mathrm{.}55.$ Given a lot size of $2000$ and a sample of $100$ determine the average outgoing quality?

A$.\mathrm{.}018$

$*$B$.016$

C$.031$

D$.\mathrm{.}003$