$\backslash$table$[[$Activity$,$Precedes,Optimistic,Most Likely,Pessimistic$],[$Start$,$A$,,,$Time Estimates $($days$)],[$A$,$B$,$C$,41,47,71],[$B$,$D$,90,99,108],[$C$,$D$,92,98,116],[$D$,$E$,$F$,7,38,],[$E$,$End,$91,100,115],[$F$,$End,$62,65,68]]$

Use the given information, what is the expected $($mean$)$ time to complete the activity E$?$

Use the given information, what is the variance of the activity $B$

Use the given information, what is the expected duration for path A$-$B$-$D$-$F$?$

Used the expected time of an activity to create an activity on node $($AON$)$ network diagram, what is the slack of the activity C$?$

Use the given information, what is the expected $($mean$)$ time for project completion?

Use the given information, what is the probability that path A$-$C$-$D$-$F CANNOT be complete in $250$ days $($Use $2$ decimal place for operation and show your result in $0.********$ format$)?$