For the following project, apply the PERT method to find the project duration. Also, answer the following questions.

What is the probability of the project finishing in $35$ days?

What is the probability of the project finishing in $48$ days?

What is the project duration with a $95\%$ confidence level?

$\backslash$table$[[$Activities$,$Predecessors,Ta $($Days$),$Tm Days,Tb $($Days$),$Mean $(),$Variance $($V$)],[$A$,$None,$3,4,5,,],[$B$,$A $($FS$),7,10,19,,],[$C$,$B $($FS$),4,6,8,,],[$D$,$B $($FS$),4,7,10,,],[$E$,$C $($FS$),11,14,23,,],[$F$,$D $($FS$),6,8,16,,],[$G$,$E$,$ F $($FS$),2,4,6,,]]$