The software solution dnason at Masck ime has been working on an application which on development would have a large market. In order to remain market leaders and innovators of new produets, they have to complete this projoct as soon as possible The division manager resorts to the use of PERT in the scheduling of the projoct activitics. The following table depices the information on the activitier.Duration $($DaysiActivityImmediatePredecssortsiOptimistic ta$)$Most Likely $($m$))$Pessimistic $($byABDEF$6$G$1$sEG D$1\mathrm{.}2$DE$,$ F$.$ G$.$ D$($a$)$ Find the cntical path and the expected project complction time through a PERT network diagram.$($b$)$ What is the probability that the projeet will be completed within $30$ days?