A project being analyzed by PERT has $60$ activities, $13$ of which are on the critical path. If the estimated time along the critical path is $214$ days with a project variance of $100,$ the probability that the project will take $224$ days or more to complete is

a$.$ near zero

b$.0\mathrm{.}0126$

c$.0\mathrm{.}1587$

d$.0\mathrm{.}8413$

e$.2\mathrm{.}14$

c $($Project management techniques: PERT and CPM$,$ moderate$)\{$AACSB: Analytic Skills$\}$