A nonconformance rate $($p$)$ control chart with a sample size of n$=400$ has the following parameters:UKS $=0\mathrm{.}0809$Central Line $=0\mathrm{.}0500$AKS $=0\mathrm{.}0191$a$)$ Find the width of the control limits in standard deviation units. $(10$p$)$b$)$ What would be the corresponding parameters for an equivalent control scheme based on the number of nonconformists? $(5$p$)$c$)$ When the duration non$-$compliance rate shifts to $0\mathrm{.}0300,$ the followingWhat is the probability of detecting a shift in the first sample? n very bigTherefore, use the Poisson distribution instead of the binomial distribution