Consider a processing time, T$,$ with measured parameters E$[$T$]=6$ andC$2[$T$]=$

$2,$ that has four i$.$i$.$d$.$ sub$-$tasks, Ti for i $=1,2,3,4.$

$($a$)$ Determine E$[$Ti$]$ and C$2[$Ti$]$ for the sub$-$tasks.

$($b$)$ Assume that the variability of each sub$-$task can be reduced $($identically$)$ so that

C$2[$Ti$]=2.$ Determine the squared coefficient of variation of the total processing

time and the percentage improvement over the $$old$$ processing time variability