A project has been defined to contain the following network and list of activities:

$1$

MGT $422$: Production Management

$\backslash$table$[[$Activity$,\backslash$table$[[$Time Estimates$],[($days$)]],\backslash$table$[[$Expected$],[$Times $($ET$)]],$Variances$],[$a$,m,$b$],[$A$,2,3,4,3,0\mathrm{.}111],[$B$,5,8,11,8,1\mathrm{.}000],[$C$,4,5,12,6,1\mathrm{.}778],[$D$,3,4,5,,],[E,1,3,5,3,0\mathrm{.}444],[$F$,1,2,3,2,0\mathrm{.}111],[$G$,2,4,6,4,0\mathrm{.}444]]$

Determine the probability of completing the project longer than $24$ days.