Consider the following work breakdown structure:

ActivityPrecedesDuration Estimates $($Days$)$OptimisticMost LikelyPessimisticStartU,V$---$UW$355065$VW$,$X$284052$WZ$263544$XY$284052$YZ$262938$ZEnd$366084$

What is the probability that the critical path for this project will be completed within $200$ days?

Multiple Choice

$\mathrm{.}8413$

$\mathrm{.}9544$

$\mathrm{.}9772$

$\mathrm{.}9974$

$\mathrm{.}9987$