A network consists of the list below. Times are given in weeks. The critical path is C$,$ F$,$ H$.$ Calculate the probability that this project will be completed in less than $28$ weeks.

$\backslash$table$[[$Activity$,$Preceding,Optimistic,Most Likely,Pessimistic,Expected,Variance$],[$A$,--,5,11,14,10\mathrm{.}50,2\mathrm{.}25],[$B$,--,3,3,9,4\mathrm{.}00,1\mathrm{.}00],[$C$,--,5,10,13,9\mathrm{.}67,1\mathrm{.}78],[$D$,$A$,$ B$,3,5,7,5\mathrm{.}00,0\mathrm{.}44],[$E$,$B$,4,6,11,6\mathrm{.}50,1\mathrm{.}36],[$F$,$C$,8,10,14,10\mathrm{.}33,1\mathrm{.}00],[$G$,$D$,$ E$,2,4,6,4\mathrm{.}00,0\mathrm{.}44],[$H$,$F$,3,3,9,4\mathrm{.}00,1\mathrm{.}00]]$

$\backslash$table$[[Z,\mathrm{.}00,\mathrm{.}01,\mathrm{.}02,\mathrm{.}03,\mathrm{.}04,\mathrm{.}05,\mathrm{.}06,\mathrm{.}07,\mathrm{.}08,\mathrm{.}09],[\mathrm{.}0,\mathrm{.}50000,\mathrm{.}50399,\mathrm{.}50798,\mathrm{.}51197,\mathrm{.}51595,\mathrm{.}51994,\mathrm{.}52392,\mathrm{.}52790,\mathrm{.}53188,\mathrm{.}53586],[5\mathrm{.}525,,,,,,,,,,]]$