Time estimates for the network shown below are provided in the table. Please Complete the shaded cells on the table. What is the probability of completing the path B$-$C$-$F in $57$ days?

$\backslash$table$[[$Task$,\backslash$table$[[$Optimistic$],[$Estimate$]],\backslash$table$[[$Most likely$],[$Estimate$]],\backslash$table$[[$Pessimistic$],[$Estimate$]],\backslash$table$[[$Expected$],[$Time $($ET$)]],\backslash$table$[[$Variance$],[({}^2)$