Question $16(4$ points$)$

One project has $45$ activities, $19$ of which are on the critical path. The estimated average time for the critical path is $120$ days. The standard deviation along the critical path is $8.$ Please choose the correct answer by using PERT analysis.

What is the probability that the project can be completed before $116?$

$0\mathrm{.}7340$

$0\mathrm{.}1587$

$0\mathrm{.}4255$

$0\mathrm{.}3085$