Using the following project information

$\backslash$table$[[$Activity$,\backslash$table$[[$Optimistic Time$],[$Estimate$($weeks$)]],\backslash$table$[[$Most Likely Time$],[$Estimates $($weeks$)]],\backslash$table$[[$Pessimistic Time$],[$Estimates $($weeks$)]],\backslash$table$[[$Immediate$],[$Predecessor$($s$)]]],[$A$,2,3,5,$none$],[$B$,2\mathrm{.}6,4,5,$A$],[$C$,5,7,8,$A$],[$D$,3,5,8,$B$,$ C$],[$E$,4,6,13,$B$,$ C$],[$F$,2,5,8,$D$],[$G$,4,5,7,$E$],[$H$,6,6,9,$F$],[$I$,4,8,11,$H$,$ I$]]$

The critical path is A$-$C$-$E$-$G$-$I$-$J$.$

$\backslash$table$[[$Activity$,$A$,$B$,$C$,$D$,$E$,$F$,$G$,$H$,$I,J$],[$Variance$,0\mathrm{.}25,0\mathrm{.}16,0\mathrm{.}25,0\mathrm{.}69,2\mathrm{.}25,1\mathrm{.}00,0\mathrm{.}25,0\mathrm{.}25,1\mathrm{.}36,0\mathrm{.}03]]$

$($a$)$ Calculate the probability that the project will be completed in $31$ weeks. $($Round your answer to $4$ decimal places, e$.$g$.1\mathrm{.}7945.)$

project $31$

$($b$)$ Calculate the probability that the project will be completed in $35$ weeks. $($Round your answer to $4$ decimal places, e$.$g$.1\mathrm{.}7945.)$

project $35$