You may need to use the appropriate technology to answer this question.

Consider the PERT$/$CPM network with estimated times in weeks shown in the following figure. The project is scheduled to begin on May $1.$

A project network with $10$ activities and $13$ directed arcs is shown.

Activity Start is connected to activity A$.$

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

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

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

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

Activity E is connected to activity F$.$

Activity F is connected to activity H$.$

Activity G is connected to activity H$.$

Activity H is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

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

A: $1$

B: $3$

C: $4$

D: $2$

E: $1$

F: $2$

G: $3$

H: $7$

The three$-$time estimate approach was used to calculate the expected times and the following table gives the variance for each activity.

Activity Variance

A $1\mathrm{.}0$

B $0\mathrm{.}4$

C $1\mathrm{.}3$

D $0\mathrm{.}7$

E $0\mathrm{.}2$

F $0\mathrm{.}5$

G $0\mathrm{.}7$

H $1\mathrm{.}1$

$($a$)$

Give the expected project completion date and the critical path. $($Enter your critical path as a comma$-$separated list.$)$

The expected project completion is

$15$

Incorrect: Your answer is incorrect.

weeks from May $1$ with a critical path of

Incorrect: Your answer is incorrect.

$.$

$($b$)$

Based only on the critical path, by what date are you $99\%$ sure the project will be completed? $($Round your answer to one decimal place.$)$

$15$

Incorrect: Your answer is incorrect.

weeks from May $1.$