Key information on a product new release project is captured in the hereunder table, including activities, predecessors, expected durations and variances $($in days$).$

What is the critical path of the project? Please include the project network, either in Microsoft Project, or manually if neatly drawn. In either case, make sure you clearly show the critical path.

What is the probability of completing the project in $20$ days? $30$ days?

$\backslash$table$[[$ID$,$Description,Predecessor,te$,$Variance$],[1,$pilot production,none,$8,4],[2,$select channels of distribution,none,$5,5],[3,$develop marketing program,none,$4,1],[4,$test market,$1,4,2],[5,$Patent,$1,7,5],[6,$full production,$4,10,9],[7,$ad promotion,$2,3,3,2],[8,$release,$5,6,7,2,1]]$