Judy Kramer, the project manager for the St$.$ John's Hospital project, divided the project into two major modules. She assigned John Stewart the overall responsibility for the Organizing and Site Preparation module and Sarah Walker the responsibility for the Physical Facilities and Infrastructure module. Using the WBS information, draw the network diagram and find the project's critical path.

Calculate the ES$,$ EF$,$ LS$,$ LF$,$ and slack times for each activity in the hospital activity project.

Analyze the hospital project's cost$-$time trade$-$offs and determine the minimum cost schedule.

Suppose that the hospital project team has arrived at the following time estimates for activity B $($site selection and survey$)$ of the St$.$ John's Hospital project:

$a=7$ weeks, $m=8$ weeks, and $b=15$ weeks

Calculate the expected time and variance for activity B$.$

Calculate the expected time and variance for the other activities in the project.

Calculate the probability that St$.$ John's Hospital will become operational in $72$ weeks, using $($a$)$ the critical path and $($b$)$ path A$-$C$-$G$-$J$-$K$.$