In a CPM network, the critical path includes five activities. Their durations are tabulated next.

$\backslash$table$[[,$Duration $($Days$)],[$Activity$,$Optimistic $($To$),$Most Likely $($Tm$),$Pessimistic $($Tp$)],[$A$,2,4,7],[$B$,5,8,14],[$C$,4,6,8],[$D$,2,2,2],[$E$,7,10,21]]$

Compute the following nine values:

The probability that the project will finish by the end of day $32$

The probability that the project will finish by the end of day $34$

The probability that the project will finish before day $30$

The probability that the project will finish on day $32$