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 $100,$ what is the probability that the project will take $224$ days or more to complete?

Select one:

a$.$ near zero

b$.0\mathrm{.}0126$

c$.0\mathrm{.}1587$

d$.2\mathrm{.}14$

e$.0\mathrm{.}8413$