Course: Construction Mgmt & Scheduling, CET$4460$

Homework Assignment $3($Due Date: Tuesdav,$10/22/2024)$

The following table shows information related to the major activities of certain project.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],\backslash$table$[[$Optimistic Time$],[($Week$)]],\backslash$table$[[$Most Likely Time$],[($Week$)]],\backslash$table$[[$Pessimistic Time$],[($Week$)]]],[$A$,-$cdots$-$cdots$---10,14,,],[$B$,-$cdots,$6,10,12],[$C$,$A$,5,08,15],[$D$,$B$,9,12,6],[$E$,$C$,4,6,7],[$F$,$D$,$ E$,10,5,20],[$G$,$D$,11,14,22],[$H$,$E$,$ F$,10,16,20],[$I$,$F$,$ G$,16,15,28],[$J$,$H$,$ I,$6,20,14]]$

a$.$ Determine the probability of completing the project by week $70.$

b$.$ Determine the probability of completing the project in more than $70$ weeks.

The following table shows information related to the major activities of certain project.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$]],\backslash$table$[[$Optimistic Time$],[($Week$)]],\backslash$table$[[$Most Likely Time$],[($Week$)]],\backslash$table$[[$Pessimistic Time$],[($Week$)]]],[$A$,-$cdotscdots$-$cdots,$6,10,14],[$B$,-$cdots$-$cdots,$5,08,12],[$C$,$A$,9,12,15],[$D$,$B$,6,6,6],[$E$,$D$,$ E$,4,5,7],[$F$,$D$,10,14,20],[$G$,$E$,$ F$,11,16,22],[$H$,$F$,$ G$,10,15,20],[$I$,$H$,$ I,$6,20,28],[$J$,16,10,14,]]$

a$.$ Determine the probability of completing the project by week $70.$

b$.$ Determine the probability of completing the project in more than $70$ weeks.