A project being analyzed by PERT has $50$ activities, $12$ of which are on the critical path. If the estimated time along the critical path is $176$ days with a project variance of $144,$ the probability that the project will take $194$ days or less to complete is

Question $37$ options:

near zero.

$2\mathrm{.}00.$

$0\mathrm{.}9332.$

$0\mathrm{.}0126.$

$0\mathrm{.}0668.$