Draw a PERT network diagram for a construction project with the activity information given below.

a$)$ Identify the critical path.

b$)$ Determine the probability of completing the project in two years $(104$ weeks$).$

$1$

$\backslash$table$[[,$Duration $($Weeks$)],[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],$Optimistic $(a),$Most Likely $(m),$Pessimistic $($b$)],[$A$,-,7,16,28],[$B$,$A$,4,19,25],[$C$,$A$,10,16,37],[$D$,$B$,7,13,37],[$E$,$B$,$ C$,13,19,33],[$F$,$B$,19,22,33],[$G$,$D$,$ E$,4,7,19],[$H$,$F$,$ G$,13,19,49],[$I$,$B$,$ C$,13,25,37],[$J$,$I, H$,7,13,19]]$