p$.3$

$(3)$ A project was planned using PERT. Its expected completion time was determined to be $64$ days. The variance of the critical path is $26.$ What is the probability the project will be completed within $59$ days $(5$ decimal places$)?$

Let $x=$ the project completion time.

$P(x_{-})=$

$q,$

Please show how you use the Normal Curve Table to obtain your answer in the space below.

$(4)$ Perform a project management analysis for the data given below to determine ES$,$ EF$,$ LS$,$ LF$,$ and slack for each activity, the total project completion time, and the critical path.

$\backslash$table$[[$Activity$,$Time $($weeks$),$Predecessors,Activity,Time $($weeks$),$Predecessors$],[$A$,5,-,$E$,3,$B$],[$B$,4,-,$F$,5,$B$],[$C$,1,$A$,$G$,9,$D$,$ E$],[$D$,2,$A$,$H$,6,$C$,$ F$]]$

$($a$)$ Draw a network with $t,ES,EF,LS,$ and $LF($follow the same format as Figure $11\mathrm{.}5$ on p$\mathrm{.}394).$

$($b$)$ Complete the following table $($similar in format to Table $11\mathrm{.}3$ on p$\mathrm{.}396).$

$\backslash$table$[[$Activity$,$Time $($weeks$),$ES$,$EF$,$LS$,$LF$,$Slack,Critical?$],[$A$,,,,,,,],[$B$,,,,,,,],[$C$,,,,,,,],[$D$,,,,,,,],[$E$,,,,,,,],[$F$,,,,,,,],[$G$,,,,,,,],[$H$,,,,,,,]]$

$($c$)$ Identify the critical path$($s$)$: $q,$

$($d$)$ Based on your analysis, the project completion time is: $$ weeks and the least critical activity is: