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 $1.$

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

$($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

$$ weeks from May $1$ with a critical path of

$($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.$)$

$$ weeks from May $1.$