Use the following problem statement to answer questions $1-5.$ BK Home, a homebuilding company, plans to build a new shopping center. A consultant for the company has constructed a project network and estimated activity times, in weeks. The consultant found the following critical path: $AC$ D$.$ The expected activity times of A$,$ C and D are $3,4,$ and $5$ weeks. The variances of $A,C$ and $D$ are $2,5,$ and $2.$ Round to four decimal places. $[$Note: $z=\frac{x-t}{}$

What is the expected project completion time?