Please read Lecture $5$ slides $47-67.$ The problem below is similar to the example for a construction project in slides $63-67.$ A project consists of $10$ work packages $($activities A $$ J$).$ Your instructor has developed a network diagram and used CPM to find the critical path. The activities along the critical path are A$-$C$-$D$-$G$-$I$-$J$.$ Activity Time Estimates $($Duration$)$ in days Low Mode High A $91622$ B $81420$ C $568$ D $161823$ E $223033$ F $71012$ G $212429$ H $5810$ I $121821$ J $246$ a$)$ Find the expected duration of the project, its variance and standard deviation b$)$ What$$s the probability $($expressed in $\%)$ of completing the project in more than $13$ weeks?