A project network with $11$ activities and $15$ directed arcs is shown.

Activity Start is connected to activity A$,$ to activity B$,$ and to activity C$.$

Activity A is connected to activity D and to activity G$.$

Activity B is connected to activity D and to activity E$.$

Activity C is connected to activity E$.$

Activity D is connected to activity F$.$

Activity E is connected to activity H$.$

Activity F is connected to activity G and to activity H$.$

Activity G is connected to activity I.

Activity H is connected to activity I.

Activity I is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

Activities A$-$I have numeric values displayed under the Activity label. These values are given below:

A: $6$

B: $4$

C: $9$

D: $4$

E: $12$

F: $10$

G: $3$

H: $2$

I: $9$

Use a forward and a backward pass to determine the critical path, and then fill out the following table. Activity times are in weeks. $($For the precedence activities, enter your answers as comma$-$separated lists. If an activity does not have immediate predecessors, enter NONE.$)$

Now assume that the times listed are only the expected times instead of being fixed times. Is the probability of being finished in fewer than $29$ weeks more or less than $50\%?$