Find the critical path and the project completion time for the following list of activities. Calculate the probabilities of completing the following project in

a$.13$ days or more

b$.11$ days or less

c$.$ between $12$ and $14$ days

$\backslash$table$[[$Activity$,$Immediate,Optimistic,Most Probable,Pessimistic$],[$A$,$Predecessor,Duration,Duration,Duration$],[$B$,-,1,3,5],[$C$,$A$,$ B$,2,4,6],[$D$,$A$,$ B$,3,4,5],[$E$,$C$,$ D$,1,5,7]]$