In order to develop a p$-$chart,

a$)$ What is $p-$bar, $p?$

$p=$

b$)$ What is the ${}_p?$

${}_p=$

c$)$ Find the upper and lower control limits for p$-$chart to include $99\mathrm{.}73\%$ of the random variation $(3$ sigma control limits$).$

UCL$=$

LCL $=$

d$)$ Is the process in control? $(\frac{Y}{N}$

note: fill the blank with y if you think it is in control; otherwise, fill the blank with $n.$