Consider the following Project activities.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immed$.],[$Predec$.]],\backslash$table$[[$Optimistic$],[$Time $($Hr$)]],\backslash$table$[[$Most Likely$],[$Time $($Hr$)]],\backslash$table$[[$Pessimistic$],[$Time $($Hr$)]]],[$A$,-,4,6,8],[$B$,-,1,4\mathrm{.}5,5],[$C$,$A$,3,3,3],[$D$,$A$,4,5,6],[$E$,$A$,0\mathrm{.}5,1,1\mathrm{.}5],[$F$,$B$,$C$,3,4,5],[$G$,$B$,$C$,1,1\mathrm{.}5,5],[$H$,$E$,$F$,5,6,7],[$I$,$E$,$F$,2,5,8],[$J$,$D$,$H$,2\mathrm{.}5,2\mathrm{.}75,4\mathrm{.}5],[$K$,$G$,$I,$3,5,7]]$

Calculate the probability that the critical path of the project is completed within $24$ hours.

Formulas and the Standard Normal Distribution table can be found in Lecture notes published on $D2L.$

Note: A network diagram is helpful to find the critical path, but you do not need to calculate ES$,EF,LS,LF$ for this assignment. Use excel for your calculations.