Consider the following table of precedence relationships for a portion of a house building project:

$\backslash$table$[[$Activity$,\backslash$table$[[$Imprediate$],[$Predecessors$)]],$Duration Estimate $($days$)],[$Pet$,$Mostired,Pes$],[$A$,7,2,9,15],[$B$,$H$),4,10,18],[$C$,$A$,2,12,15],[$D$,$A$,3,8,15],[$E$,$B$,3,14,15],[$F$,$C$,$D$,5,12,19],[$G$,D,E,2,9,12],[H,$F$,$G$,5,9,15]]$

A$.$ Determine the amount of time necessary to complete this project

B$.$ Identify the activities on the critical path and the amount of slack for the non$-$critical activities.

C$.$ What is the probability of being complete prior to day $48?$