Question $24(15$ points$)$

Based on the activity on node diagram and the table below, use the PERT method to determine the probability of completing the project in $19$ days. Select the probability that is closest to your result.

$\backslash$table$[[$Activity$,\backslash$table$[[$Optimistic time $($a$)]],\backslash$table$[[$Most likely time $($m$)]],\backslash$table$[[$Pessimistic time $($b$)]]],[$A$,1,2,3],[$B$,4,5,9],[$C$,1,4,7],[$D$,5,7,9],[$E$,5,7,9],[$F$,2,3,4],[$G$,1,3,5],[$H$,2,4,6]]$

a$)65$

b$)83$

c$)58$

d$)76$